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Finding the Fourth Proportional to 26,953,991.40, 40,403,430.90 and 13,286,116.20

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Solution

The fourth proportional to 26,953,991.40, 40,403,430.90 and 13,286,116.20 is: 19,915,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,953,991.40 : 40,403,430.90 = 13,286,116.20 : x
  2. Step 2: Convert to fraction form
    26,953,991.40/40,403,430.90 = 13,286,116.20/x
  3. Step 3: Cross multiply
    26,953,991.40x = 40,403,430.90 × 13,286,116.20
  4. Step 4: Simplify right side
    26,953,991.40x = 536,804,677,816,070.50
  5. Step 5: Solve for x
    x = 536,804,677,816,070.50/26,953,991.40
  6. Step 6: Final answer
    x = 19,915,591.34

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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.