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Finding the Fourth Proportional to 82,493.60, 123,765.12 and 32,580.80

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Solution

The fourth proportional to 82,493.60, 123,765.12 and 32,580.80 is: 48,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,493.60 : 123,765.12 = 32,580.80 : x
  2. Step 2: Convert to fraction form
    82,493.60/123,765.12 = 32,580.80/x
  3. Step 3: Cross multiply
    82,493.60x = 123,765.12 × 32,580.80
  4. Step 4: Simplify right side
    82,493.60x = 4,032,366,621.70
  5. Step 5: Solve for x
    x = 4,032,366,621.70/82,493.60
  6. Step 6: Final answer
    x = 48,880.96

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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.