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Finding the Fourth Proportional to 65,895.12, 98,894.97 and 34,314.17

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Solution

The fourth proportional to 65,895.12, 98,894.97 and 34,314.17 is: 51,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,895.12 : 98,894.97 = 34,314.17 : x
  2. Step 2: Convert to fraction form
    65,895.12/98,894.97 = 34,314.17/x
  3. Step 3: Cross multiply
    65,895.12x = 98,894.97 × 34,314.17
  4. Step 4: Simplify right side
    65,895.12x = 3,393,498,318.25
  5. Step 5: Solve for x
    x = 3,393,498,318.25/65,895.12
  6. Step 6: Final answer
    x = 51,498.48

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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.