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Finding the Fourth Proportional to 60,432, 90,583.20 and 29,198.40

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Solution

The fourth proportional to 60,432, 90,583.20 and 29,198.40 is: 43,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,432 : 90,583.20 = 29,198.40 : x
  2. Step 2: Convert to fraction form
    60,432/90,583.20 = 29,198.40/x
  3. Step 3: Cross multiply
    60,432x = 90,583.20 × 29,198.40
  4. Step 4: Simplify right side
    60,432x = 2,644,884,506.88
  5. Step 5: Solve for x
    x = 2,644,884,506.88/60,432
  6. Step 6: Final answer
    x = 43,766.29

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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.