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Finding the Fourth Proportional to 83,006.32, 124,509.34 and 33,121.44

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Solution

The fourth proportional to 83,006.32, 124,509.34 and 33,121.44 is: 49,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,006.32 : 124,509.34 = 33,121.44 : x
  2. Step 2: Convert to fraction form
    83,006.32/124,509.34 = 33,121.44/x
  3. Step 3: Cross multiply
    83,006.32x = 124,509.34 × 33,121.44
  4. Step 4: Simplify right side
    83,006.32x = 4,123,928,634.25
  5. Step 5: Solve for x
    x = 4,123,928,634.25/83,006.32
  6. Step 6: Final answer
    x = 49,682.10

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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.