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Finding the Fourth Proportional to 32,098.49, 44,294.10 and 17,757.48

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Solution

The fourth proportional to 32,098.49, 44,294.10 and 17,757.48 is: 24,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.49 : 44,294.10 = 17,757.48 : x
  2. Step 2: Convert to fraction form
    32,098.49/44,294.10 = 17,757.48/x
  3. Step 3: Cross multiply
    32,098.49x = 44,294.10 × 17,757.48
  4. Step 4: Simplify right side
    32,098.49x = 786,551,594.87
  5. Step 5: Solve for x
    x = 786,551,594.87/32,098.49
  6. Step 6: Final answer
    x = 24,504.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.