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Finding the Fourth Proportional to 85,471.38, 118,006.20 and 76,503.60

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Solution

The fourth proportional to 85,471.38, 118,006.20 and 76,503.60 is: 105,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,471.38 : 118,006.20 = 76,503.60 : x
  2. Step 2: Convert to fraction form
    85,471.38/118,006.20 = 76,503.60/x
  3. Step 3: Cross multiply
    85,471.38x = 118,006.20 × 76,503.60
  4. Step 4: Simplify right side
    85,471.38x = 9,027,899,122.32
  5. Step 5: Solve for x
    x = 9,027,899,122.32/85,471.38
  6. Step 6: Final answer
    x = 105,624.82

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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.