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Finding the Fourth Proportional to 29,315.86, 43,947.50 and 10,591.50

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Solution

The fourth proportional to 29,315.86, 43,947.50 and 10,591.50 is: 15,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,315.86 : 43,947.50 = 10,591.50 : x
  2. Step 2: Convert to fraction form
    29,315.86/43,947.50 = 10,591.50/x
  3. Step 3: Cross multiply
    29,315.86x = 43,947.50 × 10,591.50
  4. Step 4: Simplify right side
    29,315.86x = 465,469,946.25
  5. Step 5: Solve for x
    x = 465,469,946.25/29,315.86
  6. Step 6: Final answer
    x = 15,877.75

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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.