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Finding the Fourth Proportional to 43,782, 60,419.22 and 24,919.14

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Solution

The fourth proportional to 43,782, 60,419.22 and 24,919.14 is: 34,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782 : 60,419.22 = 24,919.14 : x
  2. Step 2: Convert to fraction form
    43,782/60,419.22 = 24,919.14/x
  3. Step 3: Cross multiply
    43,782x = 60,419.22 × 24,919.14
  4. Step 4: Simplify right side
    43,782x = 1,505,595,001.87
  5. Step 5: Solve for x
    x = 1,505,595,001.87/43,782
  6. Step 6: Final answer
    x = 34,388.45

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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.