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Finding the Fourth Proportional to 89,257.04, 123,161 and 51,524

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Solution

The fourth proportional to 89,257.04, 123,161 and 51,524 is: 71,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,257.04 : 123,161 = 51,524 : x
  2. Step 2: Convert to fraction form
    89,257.04/123,161 = 51,524/x
  3. Step 3: Cross multiply
    89,257.04x = 123,161 × 51,524
  4. Step 4: Simplify right side
    89,257.04x = 6,345,747,364
  5. Step 5: Solve for x
    x = 6,345,747,364/89,257.04
  6. Step 6: Final answer
    x = 71,095.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.