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Finding the Fourth Proportional to 89,523.38, 123,542.10 and 51,295.34

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Solution

The fourth proportional to 89,523.38, 123,542.10 and 51,295.34 is: 70,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,523.38 : 123,542.10 = 51,295.34 : x
  2. Step 2: Convert to fraction form
    89,523.38/123,542.10 = 51,295.34/x
  3. Step 3: Cross multiply
    89,523.38x = 123,542.10 × 51,295.34
  4. Step 4: Simplify right side
    89,523.38x = 6,337,134,023.81
  5. Step 5: Solve for x
    x = 6,337,134,023.81/89,523.38
  6. Step 6: Final answer
    x = 70,787.48

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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.