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Finding the Fourth Proportional to 50,183.72, 69,253.53 and 27,827.72

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Solution

The fourth proportional to 50,183.72, 69,253.53 and 27,827.72 is: 38,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,183.72 : 69,253.53 = 27,827.72 : x
  2. Step 2: Convert to fraction form
    50,183.72/69,253.53 = 27,827.72/x
  3. Step 3: Cross multiply
    50,183.72x = 69,253.53 × 27,827.72
  4. Step 4: Simplify right side
    50,183.72x = 1,927,167,807.46
  5. Step 5: Solve for x
    x = 1,927,167,807.46/50,183.72
  6. Step 6: Final answer
    x = 38,402.25

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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.