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Finding the Fourth Proportional to 56,338.50, 77,724.36 and 32,452.38

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Solution

The fourth proportional to 56,338.50, 77,724.36 and 32,452.38 is: 44,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,338.50 : 77,724.36 = 32,452.38 : x
  2. Step 2: Convert to fraction form
    56,338.50/77,724.36 = 32,452.38/x
  3. Step 3: Cross multiply
    56,338.50x = 77,724.36 × 32,452.38
  4. Step 4: Simplify right side
    56,338.50x = 2,522,340,465.98
  5. Step 5: Solve for x
    x = 2,522,340,465.98/56,338.50
  6. Step 6: Final answer
    x = 44,771.17

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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.