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Finding the Fourth Proportional to 65,293.22, 97,939.85 and 17,908.80

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Solution

The fourth proportional to 65,293.22, 97,939.85 and 17,908.80 is: 26,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,293.22 : 97,939.85 = 17,908.80 : x
  2. Step 2: Convert to fraction form
    65,293.22/97,939.85 = 17,908.80/x
  3. Step 3: Cross multiply
    65,293.22x = 97,939.85 × 17,908.80
  4. Step 4: Simplify right side
    65,293.22x = 1,753,985,096.14
  5. Step 5: Solve for x
    x = 1,753,985,096.14/65,293.22
  6. Step 6: Final answer
    x = 26,863.21

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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.