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Finding the Fourth Proportional to 32,248.62, 48,391.61 and 13,527

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Solution

The fourth proportional to 32,248.62, 48,391.61 and 13,527 is: 20,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,248.62 : 48,391.61 = 13,527 : x
  2. Step 2: Convert to fraction form
    32,248.62/48,391.61 = 13,527/x
  3. Step 3: Cross multiply
    32,248.62x = 48,391.61 × 13,527
  4. Step 4: Simplify right side
    32,248.62x = 654,593,240.84
  5. Step 5: Solve for x
    x = 654,593,240.84/32,248.62
  6. Step 6: Final answer
    x = 20,298.33

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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.