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Finding the Fourth Proportional to 65,042.68, 89,758.92 and 35,234.68

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Solution

The fourth proportional to 65,042.68, 89,758.92 and 35,234.68 is: 48,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,042.68 : 89,758.92 = 35,234.68 : x
  2. Step 2: Convert to fraction form
    65,042.68/89,758.92 = 35,234.68/x
  3. Step 3: Cross multiply
    65,042.68x = 89,758.92 × 35,234.68
  4. Step 4: Simplify right side
    65,042.68x = 3,162,626,823.35
  5. Step 5: Solve for x
    x = 3,162,626,823.35/65,042.68
  6. Step 6: Final answer
    x = 48,623.87

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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.