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Finding the Fourth Proportional to 38,469.60, 57,751.20 and 24,429.60

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Solution

The fourth proportional to 38,469.60, 57,751.20 and 24,429.60 is: 36,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469.60 : 57,751.20 = 24,429.60 : x
  2. Step 2: Convert to fraction form
    38,469.60/57,751.20 = 24,429.60/x
  3. Step 3: Cross multiply
    38,469.60x = 57,751.20 × 24,429.60
  4. Step 4: Simplify right side
    38,469.60x = 1,410,838,715.52
  5. Step 5: Solve for x
    x = 1,410,838,715.52/38,469.60
  6. Step 6: Final answer
    x = 36,674.12

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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.