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Finding the Fourth Proportional to 65,367.36, 98,065.80 and 23,814

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Solution

The fourth proportional to 65,367.36, 98,065.80 and 23,814 is: 35,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367.36 : 98,065.80 = 23,814 : x
  2. Step 2: Convert to fraction form
    65,367.36/98,065.80 = 23,814/x
  3. Step 3: Cross multiply
    65,367.36x = 98,065.80 × 23,814
  4. Step 4: Simplify right side
    65,367.36x = 2,335,338,961.20
  5. Step 5: Solve for x
    x = 2,335,338,961.20/65,367.36
  6. Step 6: Final answer
    x = 35,726.38

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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.