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Finding the Fourth Proportional to 49,432.80, 74,157.28 and 16,143.20

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Solution

The fourth proportional to 49,432.80, 74,157.28 and 16,143.20 is: 24,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,432.80 : 74,157.28 = 16,143.20 : x
  2. Step 2: Convert to fraction form
    49,432.80/74,157.28 = 16,143.20/x
  3. Step 3: Cross multiply
    49,432.80x = 74,157.28 × 16,143.20
  4. Step 4: Simplify right side
    49,432.80x = 1,197,135,802.50
  5. Step 5: Solve for x
    x = 1,197,135,802.50/49,432.80
  6. Step 6: Final answer
    x = 24,217.44

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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.