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Finding the Fourth Proportional to 45,123.32, 67,691.46 and 13,961

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Solution

The fourth proportional to 45,123.32, 67,691.46 and 13,961 is: 20,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,123.32 : 67,691.46 = 13,961 : x
  2. Step 2: Convert to fraction form
    45,123.32/67,691.46 = 13,961/x
  3. Step 3: Cross multiply
    45,123.32x = 67,691.46 × 13,961
  4. Step 4: Simplify right side
    45,123.32x = 945,040,473.06
  5. Step 5: Solve for x
    x = 945,040,473.06/45,123.32
  6. Step 6: Final answer
    x = 20,943.50

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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.