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Finding the Fourth Proportional to 83,772.81, 125,677.76 and 27,630.27

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Solution

The fourth proportional to 83,772.81, 125,677.76 and 27,630.27 is: 41,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,772.81 : 125,677.76 = 27,630.27 : x
  2. Step 2: Convert to fraction form
    83,772.81/125,677.76 = 27,630.27/x
  3. Step 3: Cross multiply
    83,772.81x = 125,677.76 × 27,630.27
  4. Step 4: Simplify right side
    83,772.81x = 3,472,510,303.64
  5. Step 5: Solve for x
    x = 3,472,510,303.64/83,772.81
  6. Step 6: Final answer
    x = 41,451.52

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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.