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Finding the Fourth Proportional to 89,503.53, 123,514.86 and 49,219.90

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Solution

The fourth proportional to 89,503.53, 123,514.86 and 49,219.90 is: 67,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,503.53 : 123,514.86 = 49,219.90 : x
  2. Step 2: Convert to fraction form
    89,503.53/123,514.86 = 49,219.90/x
  3. Step 3: Cross multiply
    89,503.53x = 123,514.86 × 49,219.90
  4. Step 4: Simplify right side
    89,503.53x = 6,079,389,351.41
  5. Step 5: Solve for x
    x = 6,079,389,351.41/89,503.53
  6. Step 6: Final answer
    x = 67,923.46

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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.