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Finding the Fourth Proportional to 41,826.51, 57,721.03 and 22,706.46

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Solution

The fourth proportional to 41,826.51, 57,721.03 and 22,706.46 is: 31,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,826.51 : 57,721.03 = 22,706.46 : x
  2. Step 2: Convert to fraction form
    41,826.51/57,721.03 = 22,706.46/x
  3. Step 3: Cross multiply
    41,826.51x = 57,721.03 × 22,706.46
  4. Step 4: Simplify right side
    41,826.51x = 1,310,640,258.85
  5. Step 5: Solve for x
    x = 1,310,640,258.85/41,826.51
  6. Step 6: Final answer
    x = 31,335.16

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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.