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Finding the Fourth Proportional to 72,111.74, 108,177.87 and 22,196

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Solution

The fourth proportional to 72,111.74, 108,177.87 and 22,196 is: 33,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,111.74 : 108,177.87 = 22,196 : x
  2. Step 2: Convert to fraction form
    72,111.74/108,177.87 = 22,196/x
  3. Step 3: Cross multiply
    72,111.74x = 108,177.87 × 22,196
  4. Step 4: Simplify right side
    72,111.74x = 2,401,115,891.54
  5. Step 5: Solve for x
    x = 2,401,115,891.54/72,111.74
  6. Step 6: Final answer
    x = 33,297.16

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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.