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Finding the Fourth Proportional to 74,020.72, 102,149.40 and 40,486

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Solution

The fourth proportional to 74,020.72, 102,149.40 and 40,486 is: 55,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,020.72 : 102,149.40 = 40,486 : x
  2. Step 2: Convert to fraction form
    74,020.72/102,149.40 = 40,486/x
  3. Step 3: Cross multiply
    74,020.72x = 102,149.40 × 40,486
  4. Step 4: Simplify right side
    74,020.72x = 4,135,620,608.40
  5. Step 5: Solve for x
    x = 4,135,620,608.40/74,020.72
  6. Step 6: Final answer
    x = 55,871.12

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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.