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Finding the Fourth Proportional to 31,355.46, 47,037.60 and 9,170.50

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Solution

The fourth proportional to 31,355.46, 47,037.60 and 9,170.50 is: 13,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,355.46 : 47,037.60 = 9,170.50 : x
  2. Step 2: Convert to fraction form
    31,355.46/47,037.60 = 9,170.50/x
  3. Step 3: Cross multiply
    31,355.46x = 47,037.60 × 9,170.50
  4. Step 4: Simplify right side
    31,355.46x = 431,358,310.80
  5. Step 5: Solve for x
    x = 431,358,310.80/31,355.46
  6. Step 6: Final answer
    x = 13,757.04

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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.