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Finding the Fourth Proportional to 32,322.47, 48,471.68 and 11,257.10

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Solution

The fourth proportional to 32,322.47, 48,471.68 and 11,257.10 is: 16,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322.47 : 48,471.68 = 11,257.10 : x
  2. Step 2: Convert to fraction form
    32,322.47/48,471.68 = 11,257.10/x
  3. Step 3: Cross multiply
    32,322.47x = 48,471.68 × 11,257.10
  4. Step 4: Simplify right side
    32,322.47x = 545,650,250.28
  5. Step 5: Solve for x
    x = 545,650,250.28/32,322.47
  6. Step 6: Final answer
    x = 16,881.46

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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.