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Finding the Fourth Proportional to 65,843.68, 98,784.66 and 23,722.96

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Solution

The fourth proportional to 65,843.68, 98,784.66 and 23,722.96 is: 35,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,843.68 : 98,784.66 = 23,722.96 : x
  2. Step 2: Convert to fraction form
    65,843.68/98,784.66 = 23,722.96/x
  3. Step 3: Cross multiply
    65,843.68x = 98,784.66 × 23,722.96
  4. Step 4: Simplify right side
    65,843.68x = 2,343,464,537.79
  5. Step 5: Solve for x
    x = 2,343,464,537.79/65,843.68
  6. Step 6: Final answer
    x = 35,591.34

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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.