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Finding the Fourth Proportional to 78,781.38, 108,720.36 and 42,972

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Solution

The fourth proportional to 78,781.38, 108,720.36 and 42,972 is: 59,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,781.38 : 108,720.36 = 42,972 : x
  2. Step 2: Convert to fraction form
    78,781.38/108,720.36 = 42,972/x
  3. Step 3: Cross multiply
    78,781.38x = 108,720.36 × 42,972
  4. Step 4: Simplify right side
    78,781.38x = 4,671,931,309.92
  5. Step 5: Solve for x
    x = 4,671,931,309.92/78,781.38
  6. Step 6: Final answer
    x = 59,302.48

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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.