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Finding the Fourth Proportional to 65,086.81, 89,821.92 and 36,015.51

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Solution

The fourth proportional to 65,086.81, 89,821.92 and 36,015.51 is: 49,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,086.81 : 89,821.92 = 36,015.51 : x
  2. Step 2: Convert to fraction form
    65,086.81/89,821.92 = 36,015.51/x
  3. Step 3: Cross multiply
    65,086.81x = 89,821.92 × 36,015.51
  4. Step 4: Simplify right side
    65,086.81x = 3,234,982,257.98
  5. Step 5: Solve for x
    x = 3,234,982,257.98/65,086.81
  6. Step 6: Final answer
    x = 49,702.58

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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.