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Finding the Fourth Proportional to 32,617.72, 48,934.78 and 9,244.16

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Solution

The fourth proportional to 32,617.72, 48,934.78 and 9,244.16 is: 13,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,617.72 : 48,934.78 = 9,244.16 : x
  2. Step 2: Convert to fraction form
    32,617.72/48,934.78 = 9,244.16/x
  3. Step 3: Cross multiply
    32,617.72x = 48,934.78 × 9,244.16
  4. Step 4: Simplify right side
    32,617.72x = 452,360,836.66
  5. Step 5: Solve for x
    x = 452,360,836.66/32,617.72
  6. Step 6: Final answer
    x = 13,868.56

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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.