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Finding the Fourth Proportional to 35,610.38, 53,377.90 and 13,414.15

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Solution

The fourth proportional to 35,610.38, 53,377.90 and 13,414.15 is: 20,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,610.38 : 53,377.90 = 13,414.15 : x
  2. Step 2: Convert to fraction form
    35,610.38/53,377.90 = 13,414.15/x
  3. Step 3: Cross multiply
    35,610.38x = 53,377.90 × 13,414.15
  4. Step 4: Simplify right side
    35,610.38x = 716,019,157.29
  5. Step 5: Solve for x
    x = 716,019,157.29/35,610.38
  6. Step 6: Final answer
    x = 20,107.04

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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.