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Finding the Fourth Proportional to 32,584.25, 44,966.27 and 17,680.25

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Solution

The fourth proportional to 32,584.25, 44,966.27 and 17,680.25 is: 24,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584.25 : 44,966.27 = 17,680.25 : x
  2. Step 2: Convert to fraction form
    32,584.25/44,966.27 = 17,680.25/x
  3. Step 3: Cross multiply
    32,584.25x = 44,966.27 × 17,680.25
  4. Step 4: Simplify right side
    32,584.25x = 795,014,895.17
  5. Step 5: Solve for x
    x = 795,014,895.17/32,584.25
  6. Step 6: Final answer
    x = 24,398.75

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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.