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Finding the Fourth Proportional to 32,227.56, 48,347.10 and 10,037.16

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Solution

The fourth proportional to 32,227.56, 48,347.10 and 10,037.16 is: 15,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.56 : 48,347.10 = 10,037.16 : x
  2. Step 2: Convert to fraction form
    32,227.56/48,347.10 = 10,037.16/x
  3. Step 3: Cross multiply
    32,227.56x = 48,347.10 × 10,037.16
  4. Step 4: Simplify right side
    32,227.56x = 485,267,578.24
  5. Step 5: Solve for x
    x = 485,267,578.24/32,227.56
  6. Step 6: Final answer
    x = 15,057.53

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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.