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Finding the Fourth Proportional to 65,463.97, 98,239.02 and 35,902.57

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Solution

The fourth proportional to 65,463.97, 98,239.02 and 35,902.57 is: 53,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,463.97 : 98,239.02 = 35,902.57 : x
  2. Step 2: Convert to fraction form
    65,463.97/98,239.02 = 35,902.57/x
  3. Step 3: Cross multiply
    65,463.97x = 98,239.02 × 35,902.57
  4. Step 4: Simplify right side
    65,463.97x = 3,527,033,292.28
  5. Step 5: Solve for x
    x = 3,527,033,292.28/65,463.97
  6. Step 6: Final answer
    x = 53,877.47

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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.