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Finding the Fourth Proportional to 65,521.26, 90,419.22 and 35,713.26

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Solution

The fourth proportional to 65,521.26, 90,419.22 and 35,713.26 is: 49,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,521.26 : 90,419.22 = 35,713.26 : x
  2. Step 2: Convert to fraction form
    65,521.26/90,419.22 = 35,713.26/x
  3. Step 3: Cross multiply
    65,521.26x = 90,419.22 × 35,713.26
  4. Step 4: Simplify right side
    65,521.26x = 3,229,165,112.86
  5. Step 5: Solve for x
    x = 3,229,165,112.86/65,521.26
  6. Step 6: Final answer
    x = 49,284.23

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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.