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Finding the Fourth Proportional to 61,144.86, 84,390.02 and 34,293.97

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Solution

The fourth proportional to 61,144.86, 84,390.02 and 34,293.97 is: 47,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,144.86 : 84,390.02 = 34,293.97 : x
  2. Step 2: Convert to fraction form
    61,144.86/84,390.02 = 34,293.97/x
  3. Step 3: Cross multiply
    61,144.86x = 84,390.02 × 34,293.97
  4. Step 4: Simplify right side
    61,144.86x = 2,894,068,814.18
  5. Step 5: Solve for x
    x = 2,894,068,814.18/61,144.86
  6. Step 6: Final answer
    x = 47,331.35

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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.