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Finding the Fourth Proportional to 55,961.53, 83,934.03 and 20,414.53

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Solution

The fourth proportional to 55,961.53, 83,934.03 and 20,414.53 is: 30,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,961.53 : 83,934.03 = 20,414.53 : x
  2. Step 2: Convert to fraction form
    55,961.53/83,934.03 = 20,414.53/x
  3. Step 3: Cross multiply
    55,961.53x = 83,934.03 × 20,414.53
  4. Step 4: Simplify right side
    55,961.53x = 1,713,473,773.46
  5. Step 5: Solve for x
    x = 1,713,473,773.46/55,961.53
  6. Step 6: Final answer
    x = 30,618.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.