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Finding the Fourth Proportional to 85,134.76, 127,720.92 and 25,975

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Solution

The fourth proportional to 85,134.76, 127,720.92 and 25,975 is: 38,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,134.76 : 127,720.92 = 25,975 : x
  2. Step 2: Convert to fraction form
    85,134.76/127,720.92 = 25,975/x
  3. Step 3: Cross multiply
    85,134.76x = 127,720.92 × 25,975
  4. Step 4: Simplify right side
    85,134.76x = 3,317,550,897
  5. Step 5: Solve for x
    x = 3,317,550,897/85,134.76
  6. Step 6: Final answer
    x = 38,968.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.