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Finding the Fourth Proportional to 77,162.22, 115,713.90 and 27,233.01

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Solution

The fourth proportional to 77,162.22, 115,713.90 and 27,233.01 is: 40,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,162.22 : 115,713.90 = 27,233.01 : x
  2. Step 2: Convert to fraction form
    77,162.22/115,713.90 = 27,233.01/x
  3. Step 3: Cross multiply
    77,162.22x = 115,713.90 × 27,233.01
  4. Step 4: Simplify right side
    77,162.22x = 3,151,237,795.84
  5. Step 5: Solve for x
    x = 3,151,237,795.84/77,162.22
  6. Step 6: Final answer
    x = 40,839.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.