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Finding the Fourth Proportional to 31,462.80, 47,201.51 and 10,401.57

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Solution

The fourth proportional to 31,462.80, 47,201.51 and 10,401.57 is: 15,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.80 : 47,201.51 = 10,401.57 : x
  2. Step 2: Convert to fraction form
    31,462.80/47,201.51 = 10,401.57/x
  3. Step 3: Cross multiply
    31,462.80x = 47,201.51 × 10,401.57
  4. Step 4: Simplify right side
    31,462.80x = 490,969,758.36
  5. Step 5: Solve for x
    x = 490,969,758.36/31,462.80
  6. Step 6: Final answer
    x = 15,604.77

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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.