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Finding the Fourth Proportional to 77,144.40, 115,734.02 and 27,225.01

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Solution

The fourth proportional to 77,144.40, 115,734.02 and 27,225.01 is: 40,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,144.40 : 115,734.02 = 27,225.01 : x
  2. Step 2: Convert to fraction form
    77,144.40/115,734.02 = 27,225.01/x
  3. Step 3: Cross multiply
    77,144.40x = 115,734.02 × 27,225.01
  4. Step 4: Simplify right side
    77,144.40x = 3,150,859,860.38
  5. Step 5: Solve for x
    x = 3,150,859,860.38/77,144.40
  6. Step 6: Final answer
    x = 40,843.66

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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.