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Finding the Fourth Proportional to 83,241.42, 114,873.54 and 45,515.64

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Solution

The fourth proportional to 83,241.42, 114,873.54 and 45,515.64 is: 62,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,241.42 : 114,873.54 = 45,515.64 : x
  2. Step 2: Convert to fraction form
    83,241.42/114,873.54 = 45,515.64/x
  3. Step 3: Cross multiply
    83,241.42x = 114,873.54 × 45,515.64
  4. Step 4: Simplify right side
    83,241.42x = 5,228,542,692.17
  5. Step 5: Solve for x
    x = 5,228,542,692.17/83,241.42
  6. Step 6: Final answer
    x = 62,811.79

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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.