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Finding the Fourth Proportional to 32,077.92, 48,124.17 and 14,552.76

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Solution

The fourth proportional to 32,077.92, 48,124.17 and 14,552.76 is: 21,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.92 : 48,124.17 = 14,552.76 : x
  2. Step 2: Convert to fraction form
    32,077.92/48,124.17 = 14,552.76/x
  3. Step 3: Cross multiply
    32,077.92x = 48,124.17 × 14,552.76
  4. Step 4: Simplify right side
    32,077.92x = 700,339,496.21
  5. Step 5: Solve for x
    x = 700,339,496.21/32,077.92
  6. Step 6: Final answer
    x = 21,832.45

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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.