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Finding the Fourth Proportional to 85,565.34, 128,241 and 41,180.22

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Solution

The fourth proportional to 85,565.34, 128,241 and 41,180.22 is: 61,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,565.34 : 128,241 = 41,180.22 : x
  2. Step 2: Convert to fraction form
    85,565.34/128,241 = 41,180.22/x
  3. Step 3: Cross multiply
    85,565.34x = 128,241 × 41,180.22
  4. Step 4: Simplify right side
    85,565.34x = 5,280,992,593.02
  5. Step 5: Solve for x
    x = 5,280,992,593.02/85,565.34
  6. Step 6: Final answer
    x = 61,718.83

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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.