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Finding the Fourth Proportional to 53,121, 73,306.98 and 29,569

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Solution

The fourth proportional to 53,121, 73,306.98 and 29,569 is: 40,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,121 : 73,306.98 = 29,569 : x
  2. Step 2: Convert to fraction form
    53,121/73,306.98 = 29,569/x
  3. Step 3: Cross multiply
    53,121x = 73,306.98 × 29,569
  4. Step 4: Simplify right side
    53,121x = 2,167,614,091.62
  5. Step 5: Solve for x
    x = 2,167,614,091.62/53,121
  6. Step 6: Final answer
    x = 40,805.22

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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.