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Finding the Fourth Proportional to 45,837, 63,255.15 and 25,965

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Solution

The fourth proportional to 45,837, 63,255.15 and 25,965 is: 35,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,837 : 63,255.15 = 25,965 : x
  2. Step 2: Convert to fraction form
    45,837/63,255.15 = 25,965/x
  3. Step 3: Cross multiply
    45,837x = 63,255.15 × 25,965
  4. Step 4: Simplify right side
    45,837x = 1,642,419,969.75
  5. Step 5: Solve for x
    x = 1,642,419,969.75/45,837
  6. Step 6: Final answer
    x = 35,831.75

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Why These Related Problems?

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