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Finding the Fourth Proportional to 69,194.30, 103,830.90 and 27,077.78

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Solution

The fourth proportional to 69,194.30, 103,830.90 and 27,077.78 is: 40,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,194.30 : 103,830.90 = 27,077.78 : x
  2. Step 2: Convert to fraction form
    69,194.30/103,830.90 = 27,077.78/x
  3. Step 3: Cross multiply
    69,194.30x = 103,830.90 × 27,077.78
  4. Step 4: Simplify right side
    69,194.30x = 2,811,510,267.40
  5. Step 5: Solve for x
    x = 2,811,510,267.40/69,194.30
  6. Step 6: Final answer
    x = 40,632.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.