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Finding the Fourth Proportional to 32,019.26, 47,966.49 and 19,508.24

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Solution

The fourth proportional to 32,019.26, 47,966.49 and 19,508.24 is: 29,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019.26 : 47,966.49 = 19,508.24 : x
  2. Step 2: Convert to fraction form
    32,019.26/47,966.49 = 19,508.24/x
  3. Step 3: Cross multiply
    32,019.26x = 47,966.49 × 19,508.24
  4. Step 4: Simplify right side
    32,019.26x = 935,741,559.05
  5. Step 5: Solve for x
    x = 935,741,559.05/32,019.26
  6. Step 6: Final answer
    x = 29,224.34

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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.