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Finding the Fourth Proportional to 83,229.38, 114,856.95 and 45,503.63

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Solution

The fourth proportional to 83,229.38, 114,856.95 and 45,503.63 is: 62,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,229.38 : 114,856.95 = 45,503.63 : x
  2. Step 2: Convert to fraction form
    83,229.38/114,856.95 = 45,503.63/x
  3. Step 3: Cross multiply
    83,229.38x = 114,856.95 × 45,503.63
  4. Step 4: Simplify right side
    83,229.38x = 5,226,408,155.73
  5. Step 5: Solve for x
    x = 5,226,408,155.73/83,229.38
  6. Step 6: Final answer
    x = 62,795.23

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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.