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Finding the Fourth Proportional to 28,251.50, 42,377.56 and 8,530.24

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Solution

The fourth proportional to 28,251.50, 42,377.56 and 8,530.24 is: 12,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,251.50 : 42,377.56 = 8,530.24 : x
  2. Step 2: Convert to fraction form
    28,251.50/42,377.56 = 8,530.24/x
  3. Step 3: Cross multiply
    28,251.50x = 42,377.56 × 8,530.24
  4. Step 4: Simplify right side
    28,251.50x = 361,490,757.41
  5. Step 5: Solve for x
    x = 361,490,757.41/28,251.50
  6. Step 6: Final answer
    x = 12,795.45

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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.