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Finding the Fourth Proportional to 65,065, 89,789.70 and 35,257

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Solution

The fourth proportional to 65,065, 89,789.70 and 35,257 is: 48,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,065 : 89,789.70 = 35,257 : x
  2. Step 2: Convert to fraction form
    65,065/89,789.70 = 35,257/x
  3. Step 3: Cross multiply
    65,065x = 89,789.70 × 35,257
  4. Step 4: Simplify right side
    65,065x = 3,165,715,452.90
  5. Step 5: Solve for x
    x = 3,165,715,452.90/65,065
  6. Step 6: Final answer
    x = 48,654.66

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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.