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Finding the Fourth Proportional to 28,891.50, 43,337.26 and 8,115

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Solution

The fourth proportional to 28,891.50, 43,337.26 and 8,115 is: 12,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,891.50 : 43,337.26 = 8,115 : x
  2. Step 2: Convert to fraction form
    28,891.50/43,337.26 = 8,115/x
  3. Step 3: Cross multiply
    28,891.50x = 43,337.26 × 8,115
  4. Step 4: Simplify right side
    28,891.50x = 351,681,864.90
  5. Step 5: Solve for x
    x = 351,681,864.90/28,891.50
  6. Step 6: Final answer
    x = 12,172.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.