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Finding the Fourth Proportional to 31,254.99, 46,882.71 and 10,478.49

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Solution

The fourth proportional to 31,254.99, 46,882.71 and 10,478.49 is: 15,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,254.99 : 46,882.71 = 10,478.49 : x
  2. Step 2: Convert to fraction form
    31,254.99/46,882.71 = 10,478.49/x
  3. Step 3: Cross multiply
    31,254.99x = 46,882.71 × 10,478.49
  4. Step 4: Simplify right side
    31,254.99x = 491,260,007.91
  5. Step 5: Solve for x
    x = 491,260,007.91/31,254.99
  6. Step 6: Final answer
    x = 15,717.81

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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.