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Finding the Fourth Proportional to 78,052.20, 107,712.32 and 42,242.21

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Solution

The fourth proportional to 78,052.20, 107,712.32 and 42,242.21 is: 58,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,052.20 : 107,712.32 = 42,242.21 : x
  2. Step 2: Convert to fraction form
    78,052.20/107,712.32 = 42,242.21/x
  3. Step 3: Cross multiply
    78,052.20x = 107,712.32 × 42,242.21
  4. Step 4: Simplify right side
    78,052.20x = 4,550,005,691.25
  5. Step 5: Solve for x
    x = 4,550,005,691.25/78,052.20
  6. Step 6: Final answer
    x = 58,294.39

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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.