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Finding the Fourth Proportional to 32,951.25, 49,433.18 and 13,231.40

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Solution

The fourth proportional to 32,951.25, 49,433.18 and 13,231.40 is: 19,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.25 : 49,433.18 = 13,231.40 : x
  2. Step 2: Convert to fraction form
    32,951.25/49,433.18 = 13,231.40/x
  3. Step 3: Cross multiply
    32,951.25x = 49,433.18 × 13,231.40
  4. Step 4: Simplify right side
    32,951.25x = 654,069,864.53
  5. Step 5: Solve for x
    x = 654,069,864.53/32,951.25
  6. Step 6: Final answer
    x = 19,849.62

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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.