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Finding the Fourth Proportional to 70,469.48, 105,727.32 and 26,099.54

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Solution

The fourth proportional to 70,469.48, 105,727.32 and 26,099.54 is: 39,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,469.48 : 105,727.32 = 26,099.54 : x
  2. Step 2: Convert to fraction form
    70,469.48/105,727.32 = 26,099.54/x
  3. Step 3: Cross multiply
    70,469.48x = 105,727.32 × 26,099.54
  4. Step 4: Simplify right side
    70,469.48x = 2,759,434,417.43
  5. Step 5: Solve for x
    x = 2,759,434,417.43/70,469.48
  6. Step 6: Final answer
    x = 39,157.87

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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.