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Finding the Fourth Proportional to 57,352,577.80, 86,016,911.10 and 20,978,102.20

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Solution

The fourth proportional to 57,352,577.80, 86,016,911.10 and 20,978,102.20 is: 31,462,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,352,577.80 : 86,016,911.10 = 20,978,102.20 : x
  2. Step 2: Convert to fraction form
    57,352,577.80/86,016,911.10 = 20,978,102.20/x
  3. Step 3: Cross multiply
    57,352,577.80x = 86,016,911.10 × 20,978,102.20
  4. Step 4: Simplify right side
    57,352,577.80x = 1,804,471,551,984,114.25
  5. Step 5: Solve for x
    x = 1,804,471,551,984,114.25/57,352,577.80
  6. Step 6: Final answer
    x = 31,462,780.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.