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Finding the Fourth Proportional to 32,249.62, 48,393.11 and 13,528

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Solution

The fourth proportional to 32,249.62, 48,393.11 and 13,528 is: 20,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,249.62 : 48,393.11 = 13,528 : x
  2. Step 2: Convert to fraction form
    32,249.62/48,393.11 = 13,528/x
  3. Step 3: Cross multiply
    32,249.62x = 48,393.11 × 13,528
  4. Step 4: Simplify right side
    32,249.62x = 654,661,992.08
  5. Step 5: Solve for x
    x = 654,661,992.08/32,249.62
  6. Step 6: Final answer
    x = 20,299.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.