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Finding the Fourth Proportional to 89,206.56, 123,106.44 and 48,924

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Solution

The fourth proportional to 89,206.56, 123,106.44 and 48,924 is: 67,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,206.56 : 123,106.44 = 48,924 : x
  2. Step 2: Convert to fraction form
    89,206.56/123,106.44 = 48,924/x
  3. Step 3: Cross multiply
    89,206.56x = 123,106.44 × 48,924
  4. Step 4: Simplify right side
    89,206.56x = 6,022,859,470.56
  5. Step 5: Solve for x
    x = 6,022,859,470.56/89,206.56
  6. Step 6: Final answer
    x = 67,515.88

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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.