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Finding the Fourth Proportional to 40,877, 61,282.11 and 21,161.24

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Solution

The fourth proportional to 40,877, 61,282.11 and 21,161.24 is: 31,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,877 : 61,282.11 = 21,161.24 : x
  2. Step 2: Convert to fraction form
    40,877/61,282.11 = 21,161.24/x
  3. Step 3: Cross multiply
    40,877x = 61,282.11 × 21,161.24
  4. Step 4: Simplify right side
    40,877x = 1,296,805,437.42
  5. Step 5: Solve for x
    x = 1,296,805,437.42/40,877
  6. Step 6: Final answer
    x = 31,724.57

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