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Finding the Fourth Proportional to 49,793.60, 74,688.80 and 16,515.20

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Solution

The fourth proportional to 49,793.60, 74,688.80 and 16,515.20 is: 24,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,793.60 : 74,688.80 = 16,515.20 : x
  2. Step 2: Convert to fraction form
    49,793.60/74,688.80 = 16,515.20/x
  3. Step 3: Cross multiply
    49,793.60x = 74,688.80 × 16,515.20
  4. Step 4: Simplify right side
    49,793.60x = 1,233,500,469.76
  5. Step 5: Solve for x
    x = 1,233,500,469.76/49,793.60
  6. Step 6: Final answer
    x = 24,772.27

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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.