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Finding the Fourth Proportional to 78,815.80, 118,188.70 and 28,882.84

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Solution

The fourth proportional to 78,815.80, 118,188.70 and 28,882.84 is: 43,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,815.80 : 118,188.70 = 28,882.84 : x
  2. Step 2: Convert to fraction form
    78,815.80/118,188.70 = 28,882.84/x
  3. Step 3: Cross multiply
    78,815.80x = 118,188.70 × 28,882.84
  4. Step 4: Simplify right side
    78,815.80x = 3,413,625,311.91
  5. Step 5: Solve for x
    x = 3,413,625,311.91/78,815.80
  6. Step 6: Final answer
    x = 43,311.43

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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.