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Finding the Fourth Proportional to 75,144.92, 112,724.91 and 27,772.47

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Solution

The fourth proportional to 75,144.92, 112,724.91 and 27,772.47 is: 41,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144.92 : 112,724.91 = 27,772.47 : x
  2. Step 2: Convert to fraction form
    75,144.92/112,724.91 = 27,772.47/x
  3. Step 3: Cross multiply
    75,144.92x = 112,724.91 × 27,772.47
  4. Step 4: Simplify right side
    75,144.92x = 3,130,649,181.23
  5. Step 5: Solve for x
    x = 3,130,649,181.23/75,144.92
  6. Step 6: Final answer
    x = 41,661.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.