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Finding the Fourth Proportional to 31,993.60, 47,862.24 and 27,657.76

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Solution

The fourth proportional to 31,993.60, 47,862.24 and 27,657.76 is: 41,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.60 : 47,862.24 = 27,657.76 : x
  2. Step 2: Convert to fraction form
    31,993.60/47,862.24 = 27,657.76/x
  3. Step 3: Cross multiply
    31,993.60x = 47,862.24 × 27,657.76
  4. Step 4: Simplify right side
    31,993.60x = 1,323,762,346.98
  5. Step 5: Solve for x
    x = 1,323,762,346.98/31,993.60
  6. Step 6: Final answer
    x = 41,375.85

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1.5x scale

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.