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Finding the Fourth Proportional to 65,110.75, 89,853.38 and 35,302.75

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Solution

The fourth proportional to 65,110.75, 89,853.38 and 35,302.75 is: 48,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,110.75 : 89,853.38 = 35,302.75 : x
  2. Step 2: Convert to fraction form
    65,110.75/89,853.38 = 35,302.75/x
  3. Step 3: Cross multiply
    65,110.75x = 89,853.38 × 35,302.75
  4. Step 4: Simplify right side
    65,110.75x = 3,172,071,234.28
  5. Step 5: Solve for x
    x = 3,172,071,234.28/65,110.75
  6. Step 6: Final answer
    x = 48,718.09

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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.