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Finding the Fourth Proportional to 32,863.11, 49,294.63 and 7,903.14

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Solution

The fourth proportional to 32,863.11, 49,294.63 and 7,903.14 is: 11,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863.11 : 49,294.63 = 7,903.14 : x
  2. Step 2: Convert to fraction form
    32,863.11/49,294.63 = 7,903.14/x
  3. Step 3: Cross multiply
    32,863.11x = 49,294.63 × 7,903.14
  4. Step 4: Simplify right side
    32,863.11x = 389,582,076.15
  5. Step 5: Solve for x
    x = 389,582,076.15/32,863.11
  6. Step 6: Final answer
    x = 11,854.69

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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.