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Finding the Fourth Proportional to 41,257.08, 61,891.38 and 20,475

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Solution

The fourth proportional to 41,257.08, 61,891.38 and 20,475 is: 30,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,257.08 : 61,891.38 = 20,475 : x
  2. Step 2: Convert to fraction form
    41,257.08/61,891.38 = 20,475/x
  3. Step 3: Cross multiply
    41,257.08x = 61,891.38 × 20,475
  4. Step 4: Simplify right side
    41,257.08x = 1,267,226,005.50
  5. Step 5: Solve for x
    x = 1,267,226,005.50/41,257.08
  6. Step 6: Final answer
    x = 30,715.36

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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.