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Finding the Fourth Proportional to 53,535.90, 73,881 and 29,665.20

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Solution

The fourth proportional to 53,535.90, 73,881 and 29,665.20 is: 40,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,535.90 : 73,881 = 29,665.20 : x
  2. Step 2: Convert to fraction form
    53,535.90/73,881 = 29,665.20/x
  3. Step 3: Cross multiply
    53,535.90x = 73,881 × 29,665.20
  4. Step 4: Simplify right side
    53,535.90x = 2,191,694,641.20
  5. Step 5: Solve for x
    x = 2,191,694,641.20/53,535.90
  6. Step 6: Final answer
    x = 40,938.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.