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Finding the Fourth Proportional to 105,410.54, 158,110.14 and 26,524.64

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Solution

The fourth proportional to 105,410.54, 158,110.14 and 26,524.64 is: 39,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,410.54 : 158,110.14 = 26,524.64 : x
  2. Step 2: Convert to fraction form
    105,410.54/158,110.14 = 26,524.64/x
  3. Step 3: Cross multiply
    105,410.54x = 158,110.14 × 26,524.64
  4. Step 4: Simplify right side
    105,410.54x = 4,193,814,543.85
  5. Step 5: Solve for x
    x = 4,193,814,543.85/105,410.54
  6. Step 6: Final answer
    x = 39,785.53

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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.