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Finding the Fourth Proportional to 66,241, 91,414.02 and 36,433

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Solution

The fourth proportional to 66,241, 91,414.02 and 36,433 is: 50,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,241 : 91,414.02 = 36,433 : x
  2. Step 2: Convert to fraction form
    66,241/91,414.02 = 36,433/x
  3. Step 3: Cross multiply
    66,241x = 91,414.02 × 36,433
  4. Step 4: Simplify right side
    66,241x = 3,330,486,990.66
  5. Step 5: Solve for x
    x = 3,330,486,990.66/66,241
  6. Step 6: Final answer
    x = 50,278.33

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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.