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Finding the Fourth Proportional to 31,339.46, 47,015.67 and 10,564.58

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Solution

The fourth proportional to 31,339.46, 47,015.67 and 10,564.58 is: 15,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,339.46 : 47,015.67 = 10,564.58 : x
  2. Step 2: Convert to fraction form
    31,339.46/47,015.67 = 10,564.58/x
  3. Step 3: Cross multiply
    31,339.46x = 47,015.67 × 10,564.58
  4. Step 4: Simplify right side
    31,339.46x = 496,700,806.97
  5. Step 5: Solve for x
    x = 496,700,806.97/31,339.46
  6. Step 6: Final answer
    x = 15,849.05

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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.