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Finding the Fourth Proportional to 65,174.24, 89,940 and 35,366.24

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Solution

The fourth proportional to 65,174.24, 89,940 and 35,366.24 is: 48,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,174.24 : 89,940 = 35,366.24 : x
  2. Step 2: Convert to fraction form
    65,174.24/89,940 = 35,366.24/x
  3. Step 3: Cross multiply
    65,174.24x = 89,940 × 35,366.24
  4. Step 4: Simplify right side
    65,174.24x = 3,180,839,625.60
  5. Step 5: Solve for x
    x = 3,180,839,625.60/65,174.24
  6. Step 6: Final answer
    x = 48,805.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.