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Finding the Fourth Proportional to 32,731.25, 45,169.14 and 17,827.25

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Solution

The fourth proportional to 32,731.25, 45,169.14 and 17,827.25 is: 24,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,731.25 : 45,169.14 = 17,827.25 : x
  2. Step 2: Convert to fraction form
    32,731.25/45,169.14 = 17,827.25/x
  3. Step 3: Cross multiply
    32,731.25x = 45,169.14 × 17,827.25
  4. Step 4: Simplify right side
    32,731.25x = 805,241,551.07
  5. Step 5: Solve for x
    x = 805,241,551.07/32,731.25
  6. Step 6: Final answer
    x = 24,601.61

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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.