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Finding the Fourth Proportional to 85,713.84, 128,579.22 and 29,546.56

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Solution

The fourth proportional to 85,713.84, 128,579.22 and 29,546.56 is: 44,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,713.84 : 128,579.22 = 29,546.56 : x
  2. Step 2: Convert to fraction form
    85,713.84/128,579.22 = 29,546.56/x
  3. Step 3: Cross multiply
    85,713.84x = 128,579.22 × 29,546.56
  4. Step 4: Simplify right side
    85,713.84x = 3,799,073,014.05
  5. Step 5: Solve for x
    x = 3,799,073,014.05/85,713.84
  6. Step 6: Final answer
    x = 44,322.75

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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.