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Finding the Fourth Proportional to 27,047.74, 40,512.27 and 22,314.51

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Solution

The fourth proportional to 27,047.74, 40,512.27 and 22,314.51 is: 33,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.74 : 40,512.27 = 22,314.51 : x
  2. Step 2: Convert to fraction form
    27,047.74/40,512.27 = 22,314.51/x
  3. Step 3: Cross multiply
    27,047.74x = 40,512.27 × 22,314.51
  4. Step 4: Simplify right side
    27,047.74x = 904,011,454.04
  5. Step 5: Solve for x
    x = 904,011,454.04/27,047.74
  6. Step 6: Final answer
    x = 33,422.81

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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.