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Finding the Fourth Proportional to 31,350.31, 47,040.84 and 14,711.69

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Solution

The fourth proportional to 31,350.31, 47,040.84 and 14,711.69 is: 22,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,350.31 : 47,040.84 = 14,711.69 : x
  2. Step 2: Convert to fraction form
    31,350.31/47,040.84 = 14,711.69/x
  3. Step 3: Cross multiply
    31,350.31x = 47,040.84 × 14,711.69
  4. Step 4: Simplify right side
    31,350.31x = 692,050,373.02
  5. Step 5: Solve for x
    x = 692,050,373.02/31,350.31
  6. Step 6: Final answer
    x = 22,074.76

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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.