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Finding the Fourth Proportional to 32,523.49, 48,785.28 and 9,149.95

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Solution

The fourth proportional to 32,523.49, 48,785.28 and 9,149.95 is: 13,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523.49 : 48,785.28 = 9,149.95 : x
  2. Step 2: Convert to fraction form
    32,523.49/48,785.28 = 9,149.95/x
  3. Step 3: Cross multiply
    32,523.49x = 48,785.28 × 9,149.95
  4. Step 4: Simplify right side
    32,523.49x = 446,382,872.74
  5. Step 5: Solve for x
    x = 446,382,872.74/32,523.49
  6. Step 6: Final answer
    x = 13,724.94

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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.