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Finding the Fourth Proportional to 65,367, 98,065.08 and 23,814

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Solution

The fourth proportional to 65,367, 98,065.08 and 23,814 is: 35,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367 : 98,065.08 = 23,814 : x
  2. Step 2: Convert to fraction form
    65,367/98,065.08 = 23,814/x
  3. Step 3: Cross multiply
    65,367x = 98,065.08 × 23,814
  4. Step 4: Simplify right side
    65,367x = 2,335,321,815.12
  5. Step 5: Solve for x
    x = 2,335,321,815.12/65,367
  6. Step 6: Final answer
    x = 35,726.31

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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.