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Finding the Fourth Proportional to 83,023.38, 114,438.42 and 56,156.09

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Solution

The fourth proportional to 83,023.38, 114,438.42 and 56,156.09 is: 77,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,023.38 : 114,438.42 = 56,156.09 : x
  2. Step 2: Convert to fraction form
    83,023.38/114,438.42 = 56,156.09/x
  3. Step 3: Cross multiply
    83,023.38x = 114,438.42 × 56,156.09
  4. Step 4: Simplify right side
    83,023.38x = 6,426,413,640.79
  5. Step 5: Solve for x
    x = 6,426,413,640.79/83,023.38
  6. Step 6: Final answer
    x = 77,404.87

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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.