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Finding the Fourth Proportional to 33,180.84, 49,726.10 and 19,132.07

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Solution

The fourth proportional to 33,180.84, 49,726.10 and 19,132.07 is: 28,672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180.84 : 49,726.10 = 19,132.07 : x
  2. Step 2: Convert to fraction form
    33,180.84/49,726.10 = 19,132.07/x
  3. Step 3: Cross multiply
    33,180.84x = 49,726.10 × 19,132.07
  4. Step 4: Simplify right side
    33,180.84x = 951,363,025.23
  5. Step 5: Solve for x
    x = 951,363,025.23/33,180.84
  6. Step 6: Final answer
    x = 28,672.06

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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.