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Finding the Fourth Proportional to 75,422.16, 104,083.20 and 47,144.52

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Solution

The fourth proportional to 75,422.16, 104,083.20 and 47,144.52 is: 65,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,422.16 : 104,083.20 = 47,144.52 : x
  2. Step 2: Convert to fraction form
    75,422.16/104,083.20 = 47,144.52/x
  3. Step 3: Cross multiply
    75,422.16x = 104,083.20 × 47,144.52
  4. Step 4: Simplify right side
    75,422.16x = 4,906,952,504.06
  5. Step 5: Solve for x
    x = 4,906,952,504.06/75,422.16
  6. Step 6: Final answer
    x = 65,059.82

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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.