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Finding the Fourth Proportional to 32,269.32, 48,406.97 and 12,549.36

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Solution

The fourth proportional to 32,269.32, 48,406.97 and 12,549.36 is: 18,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,269.32 : 48,406.97 = 12,549.36 : x
  2. Step 2: Convert to fraction form
    32,269.32/48,406.97 = 12,549.36/x
  3. Step 3: Cross multiply
    32,269.32x = 48,406.97 × 12,549.36
  4. Step 4: Simplify right side
    32,269.32x = 607,476,493.04
  5. Step 5: Solve for x
    x = 607,476,493.04/32,269.32
  6. Step 6: Final answer
    x = 18,825.20

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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.