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Finding the Fourth Proportional to 81,487.80, 122,158.80 and 31,551.30

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Solution

The fourth proportional to 81,487.80, 122,158.80 and 31,551.30 is: 47,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,487.80 : 122,158.80 = 31,551.30 : x
  2. Step 2: Convert to fraction form
    81,487.80/122,158.80 = 31,551.30/x
  3. Step 3: Cross multiply
    81,487.80x = 122,158.80 × 31,551.30
  4. Step 4: Simplify right side
    81,487.80x = 3,854,268,946.44
  5. Step 5: Solve for x
    x = 3,854,268,946.44/81,487.80
  6. Step 6: Final answer
    x = 47,298.72

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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.