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Finding the Fourth Proportional to 31,591.29, 47,373.76 and 12,858.65

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Solution

The fourth proportional to 31,591.29, 47,373.76 and 12,858.65 is: 19,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.29 : 47,373.76 = 12,858.65 : x
  2. Step 2: Convert to fraction form
    31,591.29/47,373.76 = 12,858.65/x
  3. Step 3: Cross multiply
    31,591.29x = 47,373.76 × 12,858.65
  4. Step 4: Simplify right side
    31,591.29x = 609,162,555.88
  5. Step 5: Solve for x
    x = 609,162,555.88/31,591.29
  6. Step 6: Final answer
    x = 19,282.61

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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.