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Finding the Fourth Proportional to 95,697.84, 143,568.24 and 29,143.22

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Solution

The fourth proportional to 95,697.84, 143,568.24 and 29,143.22 is: 43,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,697.84 : 143,568.24 = 29,143.22 : x
  2. Step 2: Convert to fraction form
    95,697.84/143,568.24 = 29,143.22/x
  3. Step 3: Cross multiply
    95,697.84x = 143,568.24 × 29,143.22
  4. Step 4: Simplify right side
    95,697.84x = 4,184,040,803.33
  5. Step 5: Solve for x
    x = 4,184,040,803.33/95,697.84
  6. Step 6: Final answer
    x = 43,721.37

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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.