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Finding the Fourth Proportional to 132,834.80, 199,193.52 and 38,043.48

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Solution

The fourth proportional to 132,834.80, 199,193.52 and 38,043.48 is: 57,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,834.80 : 199,193.52 = 38,043.48 : x
  2. Step 2: Convert to fraction form
    132,834.80/199,193.52 = 38,043.48/x
  3. Step 3: Cross multiply
    132,834.80x = 199,193.52 × 38,043.48
  4. Step 4: Simplify right side
    132,834.80x = 7,578,014,694.25
  5. Step 5: Solve for x
    x = 7,578,014,694.25/132,834.80
  6. Step 6: Final answer
    x = 57,048.41

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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.