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Finding the Fourth Proportional to 78,537.38, 108,382.68 and 42,727.37

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Solution

The fourth proportional to 78,537.38, 108,382.68 and 42,727.37 is: 58,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,537.38 : 108,382.68 = 42,727.37 : x
  2. Step 2: Convert to fraction form
    78,537.38/108,382.68 = 42,727.37/x
  3. Step 3: Cross multiply
    78,537.38x = 108,382.68 × 42,727.37
  4. Step 4: Simplify right side
    78,537.38x = 4,630,906,328.04
  5. Step 5: Solve for x
    x = 4,630,906,328.04/78,537.38
  6. Step 6: Final answer
    x = 58,964.36

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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.