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Finding the Fourth Proportional to 70,377.36, 105,581.96 and 23,629

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Solution

The fourth proportional to 70,377.36, 105,581.96 and 23,629 is: 35,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,377.36 : 105,581.96 = 23,629 : x
  2. Step 2: Convert to fraction form
    70,377.36/105,581.96 = 23,629/x
  3. Step 3: Cross multiply
    70,377.36x = 105,581.96 × 23,629
  4. Step 4: Simplify right side
    70,377.36x = 2,494,796,132.84
  5. Step 5: Solve for x
    x = 2,494,796,132.84/70,377.36
  6. Step 6: Final answer
    x = 35,448.85

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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.