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Finding the Fourth Proportional to 40,921.30, 61,414.76 and 21,205.50

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Solution

The fourth proportional to 40,921.30, 61,414.76 and 21,205.50 is: 31,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,921.30 : 61,414.76 = 21,205.50 : x
  2. Step 2: Convert to fraction form
    40,921.30/61,414.76 = 21,205.50/x
  3. Step 3: Cross multiply
    40,921.30x = 61,414.76 × 21,205.50
  4. Step 4: Simplify right side
    40,921.30x = 1,302,330,396.61
  5. Step 5: Solve for x
    x = 1,302,330,396.61/40,921.30
  6. Step 6: Final answer
    x = 31,825.24

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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.