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Finding the Fourth Proportional to 65,334.90, 98,034.75 and 25,891.14

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Solution

The fourth proportional to 65,334.90, 98,034.75 and 25,891.14 is: 38,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,334.90 : 98,034.75 = 25,891.14 : x
  2. Step 2: Convert to fraction form
    65,334.90/98,034.75 = 25,891.14/x
  3. Step 3: Cross multiply
    65,334.90x = 98,034.75 × 25,891.14
  4. Step 4: Simplify right side
    65,334.90x = 2,538,231,437.12
  5. Step 5: Solve for x
    x = 2,538,231,437.12/65,334.90
  6. Step 6: Final answer
    x = 38,849.55

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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.