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Finding the Fourth Proportional to 75,384.40, 112,979.40 and 57,766.90

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Solution

The fourth proportional to 75,384.40, 112,979.40 and 57,766.90 is: 86,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,384.40 : 112,979.40 = 57,766.90 : x
  2. Step 2: Convert to fraction form
    75,384.40/112,979.40 = 57,766.90/x
  3. Step 3: Cross multiply
    75,384.40x = 112,979.40 × 57,766.90
  4. Step 4: Simplify right side
    75,384.40x = 6,526,469,701.86
  5. Step 5: Solve for x
    x = 6,526,469,701.86/75,384.40
  6. Step 6: Final answer
    x = 86,575.87

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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.