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Finding the Fourth Proportional to 52,859.16, 79,253.37 and 27,872.82

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Solution

The fourth proportional to 52,859.16, 79,253.37 and 27,872.82 is: 41,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,859.16 : 79,253.37 = 27,872.82 : x
  2. Step 2: Convert to fraction form
    52,859.16/79,253.37 = 27,872.82/x
  3. Step 3: Cross multiply
    52,859.16x = 79,253.37 × 27,872.82
  4. Step 4: Simplify right side
    52,859.16x = 2,209,014,916.40
  5. Step 5: Solve for x
    x = 2,209,014,916.40/52,859.16
  6. Step 6: Final answer
    x = 41,790.58

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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.