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Finding the Fourth Proportional to 36,547.43, 50,434.90 and 20,414.96

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Solution

The fourth proportional to 36,547.43, 50,434.90 and 20,414.96 is: 28,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,547.43 : 50,434.90 = 20,414.96 : x
  2. Step 2: Convert to fraction form
    36,547.43/50,434.90 = 20,414.96/x
  3. Step 3: Cross multiply
    36,547.43x = 50,434.90 × 20,414.96
  4. Step 4: Simplify right side
    36,547.43x = 1,029,626,428.58
  5. Step 5: Solve for x
    x = 1,029,626,428.58/36,547.43
  6. Step 6: Final answer
    x = 28,172.34

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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.