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Finding the Fourth Proportional to 87,592.34, 120,877.44 and 49,866.50

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Solution

The fourth proportional to 87,592.34, 120,877.44 and 49,866.50 is: 68,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,592.34 : 120,877.44 = 49,866.50 : x
  2. Step 2: Convert to fraction form
    87,592.34/120,877.44 = 49,866.50/x
  3. Step 3: Cross multiply
    87,592.34x = 120,877.44 × 49,866.50
  4. Step 4: Simplify right side
    87,592.34x = 6,027,734,861.76
  5. Step 5: Solve for x
    x = 6,027,734,861.76/87,592.34
  6. Step 6: Final answer
    x = 68,815.78

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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.