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Finding the Fourth Proportional to 50,222, 69,306.36 and 27,866.48

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Solution

The fourth proportional to 50,222, 69,306.36 and 27,866.48 is: 38,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,222 : 69,306.36 = 27,866.48 : x
  2. Step 2: Convert to fraction form
    50,222/69,306.36 = 27,866.48/x
  3. Step 3: Cross multiply
    50,222x = 69,306.36 × 27,866.48
  4. Step 4: Simplify right side
    50,222x = 1,931,324,294.81
  5. Step 5: Solve for x
    x = 1,931,324,294.81/50,222
  6. Step 6: Final answer
    x = 38,455.74

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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.