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Finding the Fourth Proportional to 47,098.68, 70,642.44 and 13,367.67

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Solution

The fourth proportional to 47,098.68, 70,642.44 and 13,367.67 is: 20,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,098.68 : 70,642.44 = 13,367.67 : x
  2. Step 2: Convert to fraction form
    47,098.68/70,642.44 = 13,367.67/x
  3. Step 3: Cross multiply
    47,098.68x = 70,642.44 × 13,367.67
  4. Step 4: Simplify right side
    47,098.68x = 944,324,825.91
  5. Step 5: Solve for x
    x = 944,324,825.91/47,098.68
  6. Step 6: Final answer
    x = 20,049.92

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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.