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Finding the Fourth Proportional to 27,172, 37,560.12 and 22,669.48

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Solution

The fourth proportional to 27,172, 37,560.12 and 22,669.48 is: 31,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,172 : 37,560.12 = 22,669.48 : x
  2. Step 2: Convert to fraction form
    27,172/37,560.12 = 22,669.48/x
  3. Step 3: Cross multiply
    27,172x = 37,560.12 × 22,669.48
  4. Step 4: Simplify right side
    27,172x = 851,468,389.14
  5. Step 5: Solve for x
    x = 851,468,389.14/27,172
  6. Step 6: Final answer
    x = 31,336.24

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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.