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Finding the Fourth Proportional to 38,496.80, 57,658.80 and 31,584.80

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Solution

The fourth proportional to 38,496.80, 57,658.80 and 31,584.80 is: 47,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.80 : 57,658.80 = 31,584.80 : x
  2. Step 2: Convert to fraction form
    38,496.80/57,658.80 = 31,584.80/x
  3. Step 3: Cross multiply
    38,496.80x = 57,658.80 × 31,584.80
  4. Step 4: Simplify right side
    38,496.80x = 1,821,141,666.24
  5. Step 5: Solve for x
    x = 1,821,141,666.24/38,496.80
  6. Step 6: Final answer
    x = 47,306.31

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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.