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Finding the Fourth Proportional to 57,872.79, 86,822.96 and 18,429.84

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Solution

The fourth proportional to 57,872.79, 86,822.96 and 18,429.84 is: 27,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,872.79 : 86,822.96 = 18,429.84 : x
  2. Step 2: Convert to fraction form
    57,872.79/86,822.96 = 18,429.84/x
  3. Step 3: Cross multiply
    57,872.79x = 86,822.96 × 18,429.84
  4. Step 4: Simplify right side
    57,872.79x = 1,600,133,168.98
  5. Step 5: Solve for x
    x = 1,600,133,168.98/57,872.79
  6. Step 6: Final answer
    x = 27,649.15

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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.