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Finding the Fourth Proportional to 56,034.68, 84,064.48 and 24,449.86

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Solution

The fourth proportional to 56,034.68, 84,064.48 and 24,449.86 is: 36,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,034.68 : 84,064.48 = 24,449.86 : x
  2. Step 2: Convert to fraction form
    56,034.68/84,064.48 = 24,449.86/x
  3. Step 3: Cross multiply
    56,034.68x = 84,064.48 × 24,449.86
  4. Step 4: Simplify right side
    56,034.68x = 2,055,364,766.97
  5. Step 5: Solve for x
    x = 2,055,364,766.97/56,034.68
  6. Step 6: Final answer
    x = 36,680.23

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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.