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Finding the Fourth Proportional to 78,044.38, 107,701.23 and 42,234.39

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Solution

The fourth proportional to 78,044.38, 107,701.23 and 42,234.39 is: 58,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,044.38 : 107,701.23 = 42,234.39 : x
  2. Step 2: Convert to fraction form
    78,044.38/107,701.23 = 42,234.39/x
  3. Step 3: Cross multiply
    78,044.38x = 107,701.23 × 42,234.39
  4. Step 4: Simplify right side
    78,044.38x = 4,548,695,909.68
  5. Step 5: Solve for x
    x = 4,548,695,909.68/78,044.38
  6. Step 6: Final answer
    x = 58,283.45

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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.