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Finding the Fourth Proportional to 70,036.26, 105,040.26 and 25,647.86

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Solution

The fourth proportional to 70,036.26, 105,040.26 and 25,647.86 is: 38,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,036.26 : 105,040.26 = 25,647.86 : x
  2. Step 2: Convert to fraction form
    70,036.26/105,040.26 = 25,647.86/x
  3. Step 3: Cross multiply
    70,036.26x = 105,040.26 × 25,647.86
  4. Step 4: Simplify right side
    70,036.26x = 2,694,057,357.64
  5. Step 5: Solve for x
    x = 2,694,057,357.64/70,036.26
  6. Step 6: Final answer
    x = 38,466.61

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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.