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Finding the Fourth Proportional to 30,579.71, 45,874.13 and 10,856.62

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Solution

The fourth proportional to 30,579.71, 45,874.13 and 10,856.62 is: 16,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,579.71 : 45,874.13 = 10,856.62 : x
  2. Step 2: Convert to fraction form
    30,579.71/45,874.13 = 10,856.62/x
  3. Step 3: Cross multiply
    30,579.71x = 45,874.13 × 10,856.62
  4. Step 4: Simplify right side
    30,579.71x = 498,037,713.59
  5. Step 5: Solve for x
    x = 498,037,713.59/30,579.71
  6. Step 6: Final answer
    x = 16,286.54

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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.