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Finding the Fourth Proportional to 50,163, 69,225.30 and 27,807

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Solution

The fourth proportional to 50,163, 69,225.30 and 27,807 is: 38,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,163 : 69,225.30 = 27,807 : x
  2. Step 2: Convert to fraction form
    50,163/69,225.30 = 27,807/x
  3. Step 3: Cross multiply
    50,163x = 69,225.30 × 27,807
  4. Step 4: Simplify right side
    50,163x = 1,924,947,917.10
  5. Step 5: Solve for x
    x = 1,924,947,917.10/50,163
  6. Step 6: Final answer
    x = 38,373.86

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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.