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Finding the Fourth Proportional to 42,427, 63,624.50 and 34,086.52

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Solution

The fourth proportional to 42,427, 63,624.50 and 34,086.52 is: 51,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,427 : 63,624.50 = 34,086.52 : x
  2. Step 2: Convert to fraction form
    42,427/63,624.50 = 34,086.52/x
  3. Step 3: Cross multiply
    42,427x = 63,624.50 × 34,086.52
  4. Step 4: Simplify right side
    42,427x = 2,168,737,791.74
  5. Step 5: Solve for x
    x = 2,168,737,791.74/42,427
  6. Step 6: Final answer
    x = 51,116.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.