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Finding the Fourth Proportional to 52,524.77, 78,787.84 and 17,464.42

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Solution

The fourth proportional to 52,524.77, 78,787.84 and 17,464.42 is: 26,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,524.77 : 78,787.84 = 17,464.42 : x
  2. Step 2: Convert to fraction form
    52,524.77/78,787.84 = 17,464.42/x
  3. Step 3: Cross multiply
    52,524.77x = 78,787.84 × 17,464.42
  4. Step 4: Simplify right side
    52,524.77x = 1,375,983,989.06
  5. Step 5: Solve for x
    x = 1,375,983,989.06/52,524.77
  6. Step 6: Final answer
    x = 26,196.86

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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.