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Finding the Fourth Proportional to 76,506.56, 114,759.84 and 27,224

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Solution

The fourth proportional to 76,506.56, 114,759.84 and 27,224 is: 40,836

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,506.56 : 114,759.84 = 27,224 : x
  2. Step 2: Convert to fraction form
    76,506.56/114,759.84 = 27,224/x
  3. Step 3: Cross multiply
    76,506.56x = 114,759.84 × 27,224
  4. Step 4: Simplify right side
    76,506.56x = 3,124,221,884.16
  5. Step 5: Solve for x
    x = 3,124,221,884.16/76,506.56
  6. Step 6: Final answer
    x = 40,836

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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.