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Finding the Fourth Proportional to 29,091.38, 40,164.93 and 22,706.96

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Solution

The fourth proportional to 29,091.38, 40,164.93 and 22,706.96 is: 31,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,091.38 : 40,164.93 = 22,706.96 : x
  2. Step 2: Convert to fraction form
    29,091.38/40,164.93 = 22,706.96/x
  3. Step 3: Cross multiply
    29,091.38x = 40,164.93 × 22,706.96
  4. Step 4: Simplify right side
    29,091.38x = 912,023,258.09
  5. Step 5: Solve for x
    x = 912,023,258.09/29,091.38
  6. Step 6: Final answer
    x = 31,350.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.