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Finding the Fourth Proportional to 31,921.50, 47,882.25 and 10,033.50

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Solution

The fourth proportional to 31,921.50, 47,882.25 and 10,033.50 is: 15,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,921.50 : 47,882.25 = 10,033.50 : x
  2. Step 2: Convert to fraction form
    31,921.50/47,882.25 = 10,033.50/x
  3. Step 3: Cross multiply
    31,921.50x = 47,882.25 × 10,033.50
  4. Step 4: Simplify right side
    31,921.50x = 480,426,555.38
  5. Step 5: Solve for x
    x = 480,426,555.38/31,921.50
  6. Step 6: Final answer
    x = 15,050.25

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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.