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Finding the Fourth Proportional to 32,853.68, 49,280.52 and 19,689.56

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Solution

The fourth proportional to 32,853.68, 49,280.52 and 19,689.56 is: 29,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.68 : 49,280.52 = 19,689.56 : x
  2. Step 2: Convert to fraction form
    32,853.68/49,280.52 = 19,689.56/x
  3. Step 3: Cross multiply
    32,853.68x = 49,280.52 × 19,689.56
  4. Step 4: Simplify right side
    32,853.68x = 970,311,755.37
  5. Step 5: Solve for x
    x = 970,311,755.37/32,853.68
  6. Step 6: Final answer
    x = 29,534.34

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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.