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Finding the Fourth Proportional to 32,047.92, 48,071.90 and 16,250.50

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Solution

The fourth proportional to 32,047.92, 48,071.90 and 16,250.50 is: 24,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047.92 : 48,071.90 = 16,250.50 : x
  2. Step 2: Convert to fraction form
    32,047.92/48,071.90 = 16,250.50/x
  3. Step 3: Cross multiply
    32,047.92x = 48,071.90 × 16,250.50
  4. Step 4: Simplify right side
    32,047.92x = 781,192,410.95
  5. Step 5: Solve for x
    x = 781,192,410.95/32,047.92
  6. Step 6: Final answer
    x = 24,375.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.