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Finding the Fourth Proportional to 89,752.20, 123,857.46 and 49,466

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Solution

The fourth proportional to 89,752.20, 123,857.46 and 49,466 is: 68,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,752.20 : 123,857.46 = 49,466 : x
  2. Step 2: Convert to fraction form
    89,752.20/123,857.46 = 49,466/x
  3. Step 3: Cross multiply
    89,752.20x = 123,857.46 × 49,466
  4. Step 4: Simplify right side
    89,752.20x = 6,126,733,116.36
  5. Step 5: Solve for x
    x = 6,126,733,116.36/89,752.20
  6. Step 6: Final answer
    x = 68,262.76

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