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Finding the Fourth Proportional to 132,058.37, 198,037.89 and 47,797.71

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Solution

The fourth proportional to 132,058.37, 198,037.89 and 47,797.71 is: 71,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,058.37 : 198,037.89 = 47,797.71 : x
  2. Step 2: Convert to fraction form
    132,058.37/198,037.89 = 47,797.71/x
  3. Step 3: Cross multiply
    132,058.37x = 198,037.89 × 47,797.71
  4. Step 4: Simplify right side
    132,058.37x = 9,465,757,635.23
  5. Step 5: Solve for x
    x = 9,465,757,635.23/132,058.37
  6. Step 6: Final answer
    x = 71,678.59

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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.