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Finding the Fourth Proportional to 84,121.22, 126,204.51 and 27,970.40

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Solution

The fourth proportional to 84,121.22, 126,204.51 and 27,970.40 is: 41,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,121.22 : 126,204.51 = 27,970.40 : x
  2. Step 2: Convert to fraction form
    84,121.22/126,204.51 = 27,970.40/x
  3. Step 3: Cross multiply
    84,121.22x = 126,204.51 × 27,970.40
  4. Step 4: Simplify right side
    84,121.22x = 3,529,990,626.50
  5. Step 5: Solve for x
    x = 3,529,990,626.50/84,121.22
  6. Step 6: Final answer
    x = 41,963.14

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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.