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Finding the Fourth Proportional to 39,658.50, 54,728.73 and 22,891.50

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Solution

The fourth proportional to 39,658.50, 54,728.73 and 22,891.50 is: 31,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,658.50 : 54,728.73 = 22,891.50 : x
  2. Step 2: Convert to fraction form
    39,658.50/54,728.73 = 22,891.50/x
  3. Step 3: Cross multiply
    39,658.50x = 54,728.73 × 22,891.50
  4. Step 4: Simplify right side
    39,658.50x = 1,252,822,722.80
  5. Step 5: Solve for x
    x = 1,252,822,722.80/39,658.50
  6. Step 6: Final answer
    x = 31,590.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.