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Finding the Fourth Proportional to 27,052, 40,579.84 and 8,330.88

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Solution

The fourth proportional to 27,052, 40,579.84 and 8,330.88 is: 12,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,052 : 40,579.84 = 8,330.88 : x
  2. Step 2: Convert to fraction form
    27,052/40,579.84 = 8,330.88/x
  3. Step 3: Cross multiply
    27,052x = 40,579.84 × 8,330.88
  4. Step 4: Simplify right side
    27,052x = 338,065,777.46
  5. Step 5: Solve for x
    x = 338,065,777.46/27,052
  6. Step 6: Final answer
    x = 12,496.89

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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.