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Finding the Fourth Proportional to 32,249.65, 48,393.16 and 13,528.02

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Solution

The fourth proportional to 32,249.65, 48,393.16 and 13,528.02 is: 20,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,249.65 : 48,393.16 = 13,528.02 : x
  2. Step 2: Convert to fraction form
    32,249.65/48,393.16 = 13,528.02/x
  3. Step 3: Cross multiply
    32,249.65x = 48,393.16 × 13,528.02
  4. Step 4: Simplify right side
    32,249.65x = 654,663,636.34
  5. Step 5: Solve for x
    x = 654,663,636.34/32,249.65
  6. Step 6: Final answer
    x = 20,299.87

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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.