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Finding the Fourth Proportional to 49,107.72, 67,774.14 and 27,890.76

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Solution

The fourth proportional to 49,107.72, 67,774.14 and 27,890.76 is: 38,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,107.72 : 67,774.14 = 27,890.76 : x
  2. Step 2: Convert to fraction form
    49,107.72/67,774.14 = 27,890.76/x
  3. Step 3: Cross multiply
    49,107.72x = 67,774.14 × 27,890.76
  4. Step 4: Simplify right side
    49,107.72x = 1,890,272,272.95
  5. Step 5: Solve for x
    x = 1,890,272,272.95/49,107.72
  6. Step 6: Final answer
    x = 38,492.36

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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.