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Finding the Fourth Proportional to 77,211.80, 115,817.70 and 32,827.40

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Solution

The fourth proportional to 77,211.80, 115,817.70 and 32,827.40 is: 49,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,211.80 : 115,817.70 = 32,827.40 : x
  2. Step 2: Convert to fraction form
    77,211.80/115,817.70 = 32,827.40/x
  3. Step 3: Cross multiply
    77,211.80x = 115,817.70 × 32,827.40
  4. Step 4: Simplify right side
    77,211.80x = 3,801,993,964.98
  5. Step 5: Solve for x
    x = 3,801,993,964.98/77,211.80
  6. Step 6: Final answer
    x = 49,241.10

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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.