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Finding the Fourth Proportional to 83,892.15, 115,772.36 and 45,652.86

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Solution

The fourth proportional to 83,892.15, 115,772.36 and 45,652.86 is: 63,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,892.15 : 115,772.36 = 45,652.86 : x
  2. Step 2: Convert to fraction form
    83,892.15/115,772.36 = 45,652.86/x
  3. Step 3: Cross multiply
    83,892.15x = 115,772.36 × 45,652.86
  4. Step 4: Simplify right side
    83,892.15x = 5,285,339,114.69
  5. Step 5: Solve for x
    x = 5,285,339,114.69/83,892.15
  6. Step 6: Final answer
    x = 63,001.59

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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.