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Finding the Fourth Proportional to 65,914.25, 90,961.20 and 35,698.88

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Solution

The fourth proportional to 65,914.25, 90,961.20 and 35,698.88 is: 49,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,914.25 : 90,961.20 = 35,698.88 : x
  2. Step 2: Convert to fraction form
    65,914.25/90,961.20 = 35,698.88/x
  3. Step 3: Cross multiply
    65,914.25x = 90,961.20 × 35,698.88
  4. Step 4: Simplify right side
    65,914.25x = 3,247,212,508.65
  5. Step 5: Solve for x
    x = 3,247,212,508.65/65,914.25
  6. Step 6: Final answer
    x = 49,264.20

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