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Finding the Fourth Proportional to 32,503.83, 48,761.80 and 10,311.23

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Solution

The fourth proportional to 32,503.83, 48,761.80 and 10,311.23 is: 15,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,503.83 : 48,761.80 = 10,311.23 : x
  2. Step 2: Convert to fraction form
    32,503.83/48,761.80 = 10,311.23/x
  3. Step 3: Cross multiply
    32,503.83x = 48,761.80 × 10,311.23
  4. Step 4: Simplify right side
    32,503.83x = 502,793,865.43
  5. Step 5: Solve for x
    x = 502,793,865.43/32,503.83
  6. Step 6: Final answer
    x = 15,468.76

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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.