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Finding the Fourth Proportional to 83,231.60, 124,847.40 and 24,069.20

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Solution

The fourth proportional to 83,231.60, 124,847.40 and 24,069.20 is: 36,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231.60 : 124,847.40 = 24,069.20 : x
  2. Step 2: Convert to fraction form
    83,231.60/124,847.40 = 24,069.20/x
  3. Step 3: Cross multiply
    83,231.60x = 124,847.40 × 24,069.20
  4. Step 4: Simplify right side
    83,231.60x = 3,004,977,040.08
  5. Step 5: Solve for x
    x = 3,004,977,040.08/83,231.60
  6. Step 6: Final answer
    x = 36,103.80

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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.