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Finding the Fourth Proportional to 83,472.50, 115,231.94 and 47,655.59

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Solution

The fourth proportional to 83,472.50, 115,231.94 and 47,655.59 is: 65,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,472.50 : 115,231.94 = 47,655.59 : x
  2. Step 2: Convert to fraction form
    83,472.50/115,231.94 = 47,655.59/x
  3. Step 3: Cross multiply
    83,472.50x = 115,231.94 × 47,655.59
  4. Step 4: Simplify right side
    83,472.50x = 5,491,445,273.11
  5. Step 5: Solve for x
    x = 5,491,445,273.11/83,472.50
  6. Step 6: Final answer
    x = 65,787.48

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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.