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Finding the Fourth Proportional to 56,923.75, 85,396.56 and 25,759

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Solution

The fourth proportional to 56,923.75, 85,396.56 and 25,759 is: 38,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,923.75 : 85,396.56 = 25,759 : x
  2. Step 2: Convert to fraction form
    56,923.75/85,396.56 = 25,759/x
  3. Step 3: Cross multiply
    56,923.75x = 85,396.56 × 25,759
  4. Step 4: Simplify right side
    56,923.75x = 2,199,729,989.04
  5. Step 5: Solve for x
    x = 2,199,729,989.04/56,923.75
  6. Step 6: Final answer
    x = 38,643.45

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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.