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Finding the Fourth Proportional to 47,792.80, 71,624.40 and 31,952.80

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Solution

The fourth proportional to 47,792.80, 71,624.40 and 31,952.80 is: 47,885.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,792.80 : 71,624.40 = 31,952.80 : x
  2. Step 2: Convert to fraction form
    47,792.80/71,624.40 = 31,952.80/x
  3. Step 3: Cross multiply
    47,792.80x = 71,624.40 × 31,952.80
  4. Step 4: Simplify right side
    47,792.80x = 2,288,600,128.32
  5. Step 5: Solve for x
    x = 2,288,600,128.32/47,792.80
  6. Step 6: Final answer
    x = 47,885.88

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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.