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Finding the Fourth Proportional to 50,166, 69,231.24 and 27,810

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Solution

The fourth proportional to 50,166, 69,231.24 and 27,810 is: 38,379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,166 : 69,231.24 = 27,810 : x
  2. Step 2: Convert to fraction form
    50,166/69,231.24 = 27,810/x
  3. Step 3: Cross multiply
    50,166x = 69,231.24 × 27,810
  4. Step 4: Simplify right side
    50,166x = 1,925,320,784.40
  5. Step 5: Solve for x
    x = 1,925,320,784.40/50,166
  6. Step 6: Final answer
    x = 38,379.00

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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.