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Finding the Fourth Proportional to 56,309.68, 77,724.66 and 32,452.24

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Solution

The fourth proportional to 56,309.68, 77,724.66 and 32,452.24 is: 44,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,309.68 : 77,724.66 = 32,452.24 : x
  2. Step 2: Convert to fraction form
    56,309.68/77,724.66 = 32,452.24/x
  3. Step 3: Cross multiply
    56,309.68x = 77,724.66 × 32,452.24
  4. Step 4: Simplify right side
    56,309.68x = 2,522,339,320.24
  5. Step 5: Solve for x
    x = 2,522,339,320.24/56,309.68
  6. Step 6: Final answer
    x = 44,794.06

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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.