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Finding the Fourth Proportional to 32,862.11, 49,293.12 and 7,902.14

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Solution

The fourth proportional to 32,862.11, 49,293.12 and 7,902.14 is: 11,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862.11 : 49,293.12 = 7,902.14 : x
  2. Step 2: Convert to fraction form
    32,862.11/49,293.12 = 7,902.14/x
  3. Step 3: Cross multiply
    32,862.11x = 49,293.12 × 7,902.14
  4. Step 4: Simplify right side
    32,862.11x = 389,520,918.44
  5. Step 5: Solve for x
    x = 389,520,918.44/32,862.11
  6. Step 6: Final answer
    x = 11,853.19

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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.