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Finding the Fourth Proportional to 89,162.57, 123,045.89 and 48,873.78

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Solution

The fourth proportional to 89,162.57, 123,045.89 and 48,873.78 is: 67,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,162.57 : 123,045.89 = 48,873.78 : x
  2. Step 2: Convert to fraction form
    89,162.57/123,045.89 = 48,873.78/x
  3. Step 3: Cross multiply
    89,162.57x = 123,045.89 × 48,873.78
  4. Step 4: Simplify right side
    89,162.57x = 6,013,717,513.40
  5. Step 5: Solve for x
    x = 6,013,717,513.40/89,162.57
  6. Step 6: Final answer
    x = 67,446.66

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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.