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Finding the Fourth Proportional to 65,853.73, 90,877.98 and 35,639.11

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Solution

The fourth proportional to 65,853.73, 90,877.98 and 35,639.11 is: 49,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,853.73 : 90,877.98 = 35,639.11 : x
  2. Step 2: Convert to fraction form
    65,853.73/90,877.98 = 35,639.11/x
  3. Step 3: Cross multiply
    65,853.73x = 90,877.98 × 35,639.11
  4. Step 4: Simplify right side
    65,853.73x = 3,238,810,325.80
  5. Step 5: Solve for x
    x = 3,238,810,325.80/65,853.73
  6. Step 6: Final answer
    x = 49,181.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.