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Finding the Fourth Proportional to 65,841.68, 98,781.65 and 23,720.96

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Solution

The fourth proportional to 65,841.68, 98,781.65 and 23,720.96 is: 35,588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,841.68 : 98,781.65 = 23,720.96 : x
  2. Step 2: Convert to fraction form
    65,841.68/98,781.65 = 23,720.96/x
  3. Step 3: Cross multiply
    65,841.68x = 98,781.65 × 23,720.96
  4. Step 4: Simplify right side
    65,841.68x = 2,343,195,568.38
  5. Step 5: Solve for x
    x = 2,343,195,568.38/65,841.68
  6. Step 6: Final answer
    x = 35,588.33

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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.