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Finding the Fourth Proportional to 122,441.44, 183,644.88 and 38,182

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Solution

The fourth proportional to 122,441.44, 183,644.88 and 38,182 is: 57,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,441.44 : 183,644.88 = 38,182 : x
  2. Step 2: Convert to fraction form
    122,441.44/183,644.88 = 38,182/x
  3. Step 3: Cross multiply
    122,441.44x = 183,644.88 × 38,182
  4. Step 4: Simplify right side
    122,441.44x = 7,011,928,808.16
  5. Step 5: Solve for x
    x = 7,011,928,808.16/122,441.44
  6. Step 6: Final answer
    x = 57,267.61

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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.