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Finding the Fourth Proportional to 31,367.34, 47,041.10 and 10,303.92

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Solution

The fourth proportional to 31,367.34, 47,041.10 and 10,303.92 is: 15,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,367.34 : 47,041.10 = 10,303.92 : x
  2. Step 2: Convert to fraction form
    31,367.34/47,041.10 = 10,303.92/x
  3. Step 3: Cross multiply
    31,367.34x = 47,041.10 × 10,303.92
  4. Step 4: Simplify right side
    31,367.34x = 484,707,731.11
  5. Step 5: Solve for x
    x = 484,707,731.11/31,367.34
  6. Step 6: Final answer
    x = 15,452.62

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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.