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Finding the Fourth Proportional to 126,498.24, 189,642.24 and 47,568.96

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Solution

The fourth proportional to 126,498.24, 189,642.24 and 47,568.96 is: 71,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,498.24 : 189,642.24 = 47,568.96 : x
  2. Step 2: Convert to fraction form
    126,498.24/189,642.24 = 47,568.96/x
  3. Step 3: Cross multiply
    126,498.24x = 189,642.24 × 47,568.96
  4. Step 4: Simplify right side
    126,498.24x = 9,021,084,128.87
  5. Step 5: Solve for x
    x = 9,021,084,128.87/126,498.24
  6. Step 6: Final answer
    x = 71,313.91

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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.