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Finding the Fourth Proportional to 65,198.75, 97,798.12 and 34,026.71

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Solution

The fourth proportional to 65,198.75, 97,798.12 and 34,026.71 is: 51,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198.75 : 97,798.12 = 34,026.71 : x
  2. Step 2: Convert to fraction form
    65,198.75/97,798.12 = 34,026.71/x
  3. Step 3: Cross multiply
    65,198.75x = 97,798.12 × 34,026.71
  4. Step 4: Simplify right side
    65,198.75x = 3,327,747,693.73
  5. Step 5: Solve for x
    x = 3,327,747,693.73/65,198.75
  6. Step 6: Final answer
    x = 51,040.06

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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.