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Finding the Fourth Proportional to 49,150.12, 67,829 and 27,933

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Solution

The fourth proportional to 49,150.12, 67,829 and 27,933 is: 38,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,150.12 : 67,829 = 27,933 : x
  2. Step 2: Convert to fraction form
    49,150.12/67,829 = 27,933/x
  3. Step 3: Cross multiply
    49,150.12x = 67,829 × 27,933
  4. Step 4: Simplify right side
    49,150.12x = 1,894,667,457
  5. Step 5: Solve for x
    x = 1,894,667,457/49,150.12
  6. Step 6: Final answer
    x = 38,548.58

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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.