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Finding the Fourth Proportional to 123,718.74, 185,452.80 and 48,891.84

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Solution

The fourth proportional to 123,718.74, 185,452.80 and 48,891.84 is: 73,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,718.74 : 185,452.80 = 48,891.84 : x
  2. Step 2: Convert to fraction form
    123,718.74/185,452.80 = 48,891.84/x
  3. Step 3: Cross multiply
    123,718.74x = 185,452.80 × 48,891.84
  4. Step 4: Simplify right side
    123,718.74x = 9,067,128,625.15
  5. Step 5: Solve for x
    x = 9,067,128,625.15/123,718.74
  6. Step 6: Final answer
    x = 73,288.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.