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Finding the Fourth Proportional to 70,198.56, 105,318.36 and 23,484.24

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Solution

The fourth proportional to 70,198.56, 105,318.36 and 23,484.24 is: 35,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,198.56 : 105,318.36 = 23,484.24 : x
  2. Step 2: Convert to fraction form
    70,198.56/105,318.36 = 23,484.24/x
  3. Step 3: Cross multiply
    70,198.56x = 105,318.36 × 23,484.24
  4. Step 4: Simplify right side
    70,198.56x = 2,473,321,642.65
  5. Step 5: Solve for x
    x = 2,473,321,642.65/70,198.56
  6. Step 6: Final answer
    x = 35,233.22

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1.5x scale

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.