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Finding the Fourth Proportional to 50,243.75, 69,332.00 and 27,582.65

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Solution

The fourth proportional to 50,243.75, 69,332.00 and 27,582.65 is: 38,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,243.75 : 69,332.00 = 27,582.65 : x
  2. Step 2: Convert to fraction form
    50,243.75/69,332.00 = 27,582.65/x
  3. Step 3: Cross multiply
    50,243.75x = 69,332.00 × 27,582.65
  4. Step 4: Simplify right side
    50,243.75x = 1,912,360,220.37
  5. Step 5: Solve for x
    x = 1,912,360,220.37/50,243.75
  6. Step 6: Final answer
    x = 38,061.65

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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.