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Finding the Fourth Proportional to 32,584.39, 44,966.43 and 17,680.39

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Solution

The fourth proportional to 32,584.39, 44,966.43 and 17,680.39 is: 24,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584.39 : 44,966.43 = 17,680.39 : x
  2. Step 2: Convert to fraction form
    32,584.39/44,966.43 = 17,680.39/x
  3. Step 3: Cross multiply
    32,584.39x = 44,966.43 × 17,680.39
  4. Step 4: Simplify right side
    32,584.39x = 795,024,019.31
  5. Step 5: Solve for x
    x = 795,024,019.31/32,584.39
  6. Step 6: Final answer
    x = 24,398.92

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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.