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Finding the Fourth Proportional to 83,493.52, 115,221.06 and 45,766.96

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Solution

The fourth proportional to 83,493.52, 115,221.06 and 45,766.96 is: 63,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,493.52 : 115,221.06 = 45,766.96 : x
  2. Step 2: Convert to fraction form
    83,493.52/115,221.06 = 45,766.96/x
  3. Step 3: Cross multiply
    83,493.52x = 115,221.06 × 45,766.96
  4. Step 4: Simplify right side
    83,493.52x = 5,273,317,644.18
  5. Step 5: Solve for x
    x = 5,273,317,644.18/83,493.52
  6. Step 6: Final answer
    x = 63,158.41

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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.