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Finding the Fourth Proportional to 70,471.70, 105,723.11 and 20,555.71

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Solution

The fourth proportional to 70,471.70, 105,723.11 and 20,555.71 is: 30,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,471.70 : 105,723.11 = 20,555.71 : x
  2. Step 2: Convert to fraction form
    70,471.70/105,723.11 = 20,555.71/x
  3. Step 3: Cross multiply
    70,471.70x = 105,723.11 × 20,555.71
  4. Step 4: Simplify right side
    70,471.70x = 2,173,213,260.91
  5. Step 5: Solve for x
    x = 2,173,213,260.91/70,471.70
  6. Step 6: Final answer
    x = 30,838.10

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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.