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Finding the Fourth Proportional to 31,476.74, 47,215.10 and 10,411.12

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Solution

The fourth proportional to 31,476.74, 47,215.10 and 10,411.12 is: 15,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,476.74 : 47,215.10 = 10,411.12 : x
  2. Step 2: Convert to fraction form
    31,476.74/47,215.10 = 10,411.12/x
  3. Step 3: Cross multiply
    31,476.74x = 47,215.10 × 10,411.12
  4. Step 4: Simplify right side
    31,476.74x = 491,561,891.37
  5. Step 5: Solve for x
    x = 491,561,891.37/31,476.74
  6. Step 6: Final answer
    x = 15,616.67

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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.