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Finding the Fourth Proportional to 53,903.40, 80,849.40 and 14,464.50

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Solution

The fourth proportional to 53,903.40, 80,849.40 and 14,464.50 is: 21,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,903.40 : 80,849.40 = 14,464.50 : x
  2. Step 2: Convert to fraction form
    53,903.40/80,849.40 = 14,464.50/x
  3. Step 3: Cross multiply
    53,903.40x = 80,849.40 × 14,464.50
  4. Step 4: Simplify right side
    53,903.40x = 1,169,446,146.30
  5. Step 5: Solve for x
    x = 1,169,446,146.30/53,903.40
  6. Step 6: Final answer
    x = 21,695.22

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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.