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Finding the Fourth Proportional to 32,831.62, 49,240.22 and 9,452.98

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Solution

The fourth proportional to 32,831.62, 49,240.22 and 9,452.98 is: 14,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,831.62 : 49,240.22 = 9,452.98 : x
  2. Step 2: Convert to fraction form
    32,831.62/49,240.22 = 9,452.98/x
  3. Step 3: Cross multiply
    32,831.62x = 49,240.22 × 9,452.98
  4. Step 4: Simplify right side
    32,831.62x = 465,466,568.65
  5. Step 5: Solve for x
    x = 465,466,568.65/32,831.62
  6. Step 6: Final answer
    x = 14,177.39

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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.