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Finding the Fourth Proportional to 32,523.50, 48,785.24 and 9,149.94

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Solution

The fourth proportional to 32,523.50, 48,785.24 and 9,149.94 is: 13,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523.50 : 48,785.24 = 9,149.94 : x
  2. Step 2: Convert to fraction form
    32,523.50/48,785.24 = 9,149.94/x
  3. Step 3: Cross multiply
    32,523.50x = 48,785.24 × 9,149.94
  4. Step 4: Simplify right side
    32,523.50x = 446,382,018.89
  5. Step 5: Solve for x
    x = 446,382,018.89/32,523.50
  6. Step 6: Final answer
    x = 13,724.91

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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.