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Finding the Fourth Proportional to 33,778.32, 46,614.08 and 20,350.14

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Solution

The fourth proportional to 33,778.32, 46,614.08 and 20,350.14 is: 28,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,778.32 : 46,614.08 = 20,350.14 : x
  2. Step 2: Convert to fraction form
    33,778.32/46,614.08 = 20,350.14/x
  3. Step 3: Cross multiply
    33,778.32x = 46,614.08 × 20,350.14
  4. Step 4: Simplify right side
    33,778.32x = 948,602,930.04
  5. Step 5: Solve for x
    x = 948,602,930.04/33,778.32
  6. Step 6: Final answer
    x = 28,083.19

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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.