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Finding the Fourth Proportional to 83,429.70, 125,132.40 and 24,259.20

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Solution

The fourth proportional to 83,429.70, 125,132.40 and 24,259.20 is: 36,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,429.70 : 125,132.40 = 24,259.20 : x
  2. Step 2: Convert to fraction form
    83,429.70/125,132.40 = 24,259.20/x
  3. Step 3: Cross multiply
    83,429.70x = 125,132.40 × 24,259.20
  4. Step 4: Simplify right side
    83,429.70x = 3,035,611,918.08
  5. Step 5: Solve for x
    x = 3,035,611,918.08/83,429.70
  6. Step 6: Final answer
    x = 36,385.27

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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.