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Finding the Fourth Proportional to 52,507.69, 78,592.95 and 27,512.10

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Solution

The fourth proportional to 52,507.69, 78,592.95 and 27,512.10 is: 41,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,507.69 : 78,592.95 = 27,512.10 : x
  2. Step 2: Convert to fraction form
    52,507.69/78,592.95 = 27,512.10/x
  3. Step 3: Cross multiply
    52,507.69x = 78,592.95 × 27,512.10
  4. Step 4: Simplify right side
    52,507.69x = 2,162,257,099.70
  5. Step 5: Solve for x
    x = 2,162,257,099.70/52,507.69
  6. Step 6: Final answer
    x = 41,179.82

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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.