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Finding the Fourth Proportional to 70,238.92, 105,287.20 and 25,246.86

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Solution

The fourth proportional to 70,238.92, 105,287.20 and 25,246.86 is: 37,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,238.92 : 105,287.20 = 25,246.86 : x
  2. Step 2: Convert to fraction form
    70,238.92/105,287.20 = 25,246.86/x
  3. Step 3: Cross multiply
    70,238.92x = 105,287.20 × 25,246.86
  4. Step 4: Simplify right side
    70,238.92x = 2,658,171,198.19
  5. Step 5: Solve for x
    x = 2,658,171,198.19/70,238.92
  6. Step 6: Final answer
    x = 37,844.70

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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.