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Finding the Fourth Proportional to 89,503.32, 123,514.38 and 49,219.56

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Solution

The fourth proportional to 89,503.32, 123,514.38 and 49,219.56 is: 67,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,503.32 : 123,514.38 = 49,219.56 : x
  2. Step 2: Convert to fraction form
    89,503.32/123,514.38 = 49,219.56/x
  3. Step 3: Cross multiply
    89,503.32x = 123,514.38 × 49,219.56
  4. Step 4: Simplify right side
    89,503.32x = 6,079,323,437.27
  5. Step 5: Solve for x
    x = 6,079,323,437.27/89,503.32
  6. Step 6: Final answer
    x = 67,922.88

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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.