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Finding the Fourth Proportional to 71,157.76, 106,732.79 and 36,096.51

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Solution

The fourth proportional to 71,157.76, 106,732.79 and 36,096.51 is: 54,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,157.76 : 106,732.79 = 36,096.51 : x
  2. Step 2: Convert to fraction form
    71,157.76/106,732.79 = 36,096.51/x
  3. Step 3: Cross multiply
    71,157.76x = 106,732.79 × 36,096.51
  4. Step 4: Simplify right side
    71,157.76x = 3,852,680,778.14
  5. Step 5: Solve for x
    x = 3,852,680,778.14/71,157.76
  6. Step 6: Final answer
    x = 54,142.81

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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.