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Finding the Fourth Proportional to 41,292.57, 61,948.08 and 13,214.31

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Solution

The fourth proportional to 41,292.57, 61,948.08 and 13,214.31 is: 19,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,292.57 : 61,948.08 = 13,214.31 : x
  2. Step 2: Convert to fraction form
    41,292.57/61,948.08 = 13,214.31/x
  3. Step 3: Cross multiply
    41,292.57x = 61,948.08 × 13,214.31
  4. Step 4: Simplify right side
    41,292.57x = 818,601,133.02
  5. Step 5: Solve for x
    x = 818,601,133.02/41,292.57
  6. Step 6: Final answer
    x = 19,824.42

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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.