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Finding the Fourth Proportional to 126,409.91, 189,643.14 and 47,524.82

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Solution

The fourth proportional to 126,409.91, 189,643.14 and 47,524.82 is: 71,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,409.91 : 189,643.14 = 47,524.82 : x
  2. Step 2: Convert to fraction form
    126,409.91/189,643.14 = 47,524.82/x
  3. Step 3: Cross multiply
    126,409.91x = 189,643.14 × 47,524.82
  4. Step 4: Simplify right side
    126,409.91x = 9,012,755,144.52
  5. Step 5: Solve for x
    x = 9,012,755,144.52/126,409.91
  6. Step 6: Final answer
    x = 71,297.86

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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.