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Finding the Fourth Proportional to 82,706.20, 114,152.70 and 54,414.52

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Solution

The fourth proportional to 82,706.20, 114,152.70 and 54,414.52 is: 75,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,706.20 : 114,152.70 = 54,414.52 : x
  2. Step 2: Convert to fraction form
    82,706.20/114,152.70 = 54,414.52/x
  3. Step 3: Cross multiply
    82,706.20x = 114,152.70 × 54,414.52
  4. Step 4: Simplify right side
    82,706.20x = 6,211,564,377.20
  5. Step 5: Solve for x
    x = 6,211,564,377.20/82,706.20
  6. Step 6: Final answer
    x = 75,103.98

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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.