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Finding the Fourth Proportional to 70,491.40, 105,736.38 and 23,743.96

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Solution

The fourth proportional to 70,491.40, 105,736.38 and 23,743.96 is: 35,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,491.40 : 105,736.38 = 23,743.96 : x
  2. Step 2: Convert to fraction form
    70,491.40/105,736.38 = 23,743.96/x
  3. Step 3: Cross multiply
    70,491.40x = 105,736.38 × 23,743.96
  4. Step 4: Simplify right side
    70,491.40x = 2,510,600,377.26
  5. Step 5: Solve for x
    x = 2,510,600,377.26/70,491.40
  6. Step 6: Final answer
    x = 35,615.70

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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.