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Finding the Fourth Proportional to 36,148.75, 49,878.18 and 22,712.22

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Solution

The fourth proportional to 36,148.75, 49,878.18 and 22,712.22 is: 31,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,148.75 : 49,878.18 = 22,712.22 : x
  2. Step 2: Convert to fraction form
    36,148.75/49,878.18 = 22,712.22/x
  3. Step 3: Cross multiply
    36,148.75x = 49,878.18 × 22,712.22
  4. Step 4: Simplify right side
    36,148.75x = 1,132,844,282.53
  5. Step 5: Solve for x
    x = 1,132,844,282.53/36,148.75
  6. Step 6: Final answer
    x = 31,338.41

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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.