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Finding the Fourth Proportional to 78,538.38, 108,380.46 and 42,727.47

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Solution

The fourth proportional to 78,538.38, 108,380.46 and 42,727.47 is: 58,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,538.38 : 108,380.46 = 42,727.47 : x
  2. Step 2: Convert to fraction form
    78,538.38/108,380.46 = 42,727.47/x
  3. Step 3: Cross multiply
    78,538.38x = 108,380.46 × 42,727.47
  4. Step 4: Simplify right side
    78,538.38x = 4,630,822,853.24
  5. Step 5: Solve for x
    x = 4,630,822,853.24/78,538.38
  6. Step 6: Final answer
    x = 58,962.55

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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.