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Finding the Fourth Proportional to 32,443.85, 48,665.48 and 10,257.23

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Solution

The fourth proportional to 32,443.85, 48,665.48 and 10,257.23 is: 15,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,443.85 : 48,665.48 = 10,257.23 : x
  2. Step 2: Convert to fraction form
    32,443.85/48,665.48 = 10,257.23/x
  3. Step 3: Cross multiply
    32,443.85x = 48,665.48 × 10,257.23
  4. Step 4: Simplify right side
    32,443.85x = 499,173,149.49
  5. Step 5: Solve for x
    x = 499,173,149.49/32,443.85
  6. Step 6: Final answer
    x = 15,385.76

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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.