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Finding the Fourth Proportional to 83,900.68, 125,848.05 and 36,515.68

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Solution

The fourth proportional to 83,900.68, 125,848.05 and 36,515.68 is: 54,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,900.68 : 125,848.05 = 36,515.68 : x
  2. Step 2: Convert to fraction form
    83,900.68/125,848.05 = 36,515.68/x
  3. Step 3: Cross multiply
    83,900.68x = 125,848.05 × 36,515.68
  4. Step 4: Simplify right side
    83,900.68x = 4,595,427,122.42
  5. Step 5: Solve for x
    x = 4,595,427,122.42/83,900.68
  6. Step 6: Final answer
    x = 54,772.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.