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Finding the Fourth Proportional to 65,843.10, 98,731.04 and 21,441.33

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Solution

The fourth proportional to 65,843.10, 98,731.04 and 21,441.33 is: 32,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,843.10 : 98,731.04 = 21,441.33 : x
  2. Step 2: Convert to fraction form
    65,843.10/98,731.04 = 21,441.33/x
  3. Step 3: Cross multiply
    65,843.10x = 98,731.04 × 21,441.33
  4. Step 4: Simplify right side
    65,843.10x = 2,116,924,702.68
  5. Step 5: Solve for x
    x = 2,116,924,702.68/65,843.10
  6. Step 6: Final answer
    x = 32,151.05

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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.