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Finding the Fourth Proportional to 53,167.78, 73,369.76 and 29,294.86

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Solution

The fourth proportional to 53,167.78, 73,369.76 and 29,294.86 is: 40,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,167.78 : 73,369.76 = 29,294.86 : x
  2. Step 2: Convert to fraction form
    53,167.78/73,369.76 = 29,294.86/x
  3. Step 3: Cross multiply
    53,167.78x = 73,369.76 × 29,294.86
  4. Step 4: Simplify right side
    53,167.78x = 2,149,356,480.58
  5. Step 5: Solve for x
    x = 2,149,356,480.58/53,167.78
  6. Step 6: Final answer
    x = 40,425.92

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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.