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Finding the Fourth Proportional to 65,273.04, 97,918.97 and 24,761.48

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Solution

The fourth proportional to 65,273.04, 97,918.97 and 24,761.48 is: 37,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,273.04 : 97,918.97 = 24,761.48 : x
  2. Step 2: Convert to fraction form
    65,273.04/97,918.97 = 24,761.48/x
  3. Step 3: Cross multiply
    65,273.04x = 97,918.97 × 24,761.48
  4. Step 4: Simplify right side
    65,273.04x = 2,424,618,003.87
  5. Step 5: Solve for x
    x = 2,424,618,003.87/65,273.04
  6. Step 6: Final answer
    x = 37,145.78

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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.