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Finding the Fourth Proportional to 65,578.76, 98,344 and 23,447.48

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Solution

The fourth proportional to 65,578.76, 98,344 and 23,447.48 is: 35,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,578.76 : 98,344 = 23,447.48 : x
  2. Step 2: Convert to fraction form
    65,578.76/98,344 = 23,447.48/x
  3. Step 3: Cross multiply
    65,578.76x = 98,344 × 23,447.48
  4. Step 4: Simplify right side
    65,578.76x = 2,305,918,973.12
  5. Step 5: Solve for x
    x = 2,305,918,973.12/65,578.76
  6. Step 6: Final answer
    x = 35,162.59

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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.