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Finding the Fourth Proportional to 80,705.40, 120,827.70 and 49,601.40

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Solution

The fourth proportional to 80,705.40, 120,827.70 and 49,601.40 is: 74,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,705.40 : 120,827.70 = 49,601.40 : x
  2. Step 2: Convert to fraction form
    80,705.40/120,827.70 = 49,601.40/x
  3. Step 3: Cross multiply
    80,705.40x = 120,827.70 × 49,601.40
  4. Step 4: Simplify right side
    80,705.40x = 5,993,223,078.78
  5. Step 5: Solve for x
    x = 5,993,223,078.78/80,705.40
  6. Step 6: Final answer
    x = 74,260.50

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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.