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Finding the Fourth Proportional to 75,540.48, 104,227.20 and 47,232

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Solution

The fourth proportional to 75,540.48, 104,227.20 and 47,232 is: 65,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,540.48 : 104,227.20 = 47,232 : x
  2. Step 2: Convert to fraction form
    75,540.48/104,227.20 = 47,232/x
  3. Step 3: Cross multiply
    75,540.48x = 104,227.20 × 47,232
  4. Step 4: Simplify right side
    75,540.48x = 4,922,859,110.40
  5. Step 5: Solve for x
    x = 4,922,859,110.40/75,540.48
  6. Step 6: Final answer
    x = 65,168.49

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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.