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Finding the Fourth Proportional to 53,418.58, 73,711.17 and 29,542

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Solution

The fourth proportional to 53,418.58, 73,711.17 and 29,542 is: 40,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,418.58 : 73,711.17 = 29,542 : x
  2. Step 2: Convert to fraction form
    53,418.58/73,711.17 = 29,542/x
  3. Step 3: Cross multiply
    53,418.58x = 73,711.17 × 29,542
  4. Step 4: Simplify right side
    53,418.58x = 2,177,575,384.14
  5. Step 5: Solve for x
    x = 2,177,575,384.14/53,418.58
  6. Step 6: Final answer
    x = 40,764.38

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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.