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Finding the Fourth Proportional to 65,843.16, 98,734.50 and 36,251.16

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Solution

The fourth proportional to 65,843.16, 98,734.50 and 36,251.16 is: 54,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,843.16 : 98,734.50 = 36,251.16 : x
  2. Step 2: Convert to fraction form
    65,843.16/98,734.50 = 36,251.16/x
  3. Step 3: Cross multiply
    65,843.16x = 98,734.50 × 36,251.16
  4. Step 4: Simplify right side
    65,843.16x = 3,579,240,157.02
  5. Step 5: Solve for x
    x = 3,579,240,157.02/65,843.16
  6. Step 6: Final answer
    x = 54,360.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.