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Finding the Fourth Proportional to 70,392.56, 105,605.16 and 20,473.84

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Solution

The fourth proportional to 70,392.56, 105,605.16 and 20,473.84 is: 30,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,392.56 : 105,605.16 = 20,473.84 : x
  2. Step 2: Convert to fraction form
    70,392.56/105,605.16 = 20,473.84/x
  3. Step 3: Cross multiply
    70,392.56x = 105,605.16 × 20,473.84
  4. Step 4: Simplify right side
    70,392.56x = 2,162,143,149.01
  5. Step 5: Solve for x
    x = 2,162,143,149.01/70,392.56
  6. Step 6: Final answer
    x = 30,715.51

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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.