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Finding the Fourth Proportional to 32,024.46, 48,043.17 and 11,249.58

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Solution

The fourth proportional to 32,024.46, 48,043.17 and 11,249.58 is: 16,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024.46 : 48,043.17 = 11,249.58 : x
  2. Step 2: Convert to fraction form
    32,024.46/48,043.17 = 11,249.58/x
  3. Step 3: Cross multiply
    32,024.46x = 48,043.17 × 11,249.58
  4. Step 4: Simplify right side
    32,024.46x = 540,465,484.37
  5. Step 5: Solve for x
    x = 540,465,484.37/32,024.46
  6. Step 6: Final answer
    x = 16,876.65

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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.