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Finding the Fourth Proportional to 71,202.96, 106,868.64 and 37,950.72

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Solution

The fourth proportional to 71,202.96, 106,868.64 and 37,950.72 is: 56,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,202.96 : 106,868.64 = 37,950.72 : x
  2. Step 2: Convert to fraction form
    71,202.96/106,868.64 = 37,950.72/x
  3. Step 3: Cross multiply
    71,202.96x = 106,868.64 × 37,950.72
  4. Step 4: Simplify right side
    71,202.96x = 4,055,741,833.42
  5. Step 5: Solve for x
    x = 4,055,741,833.42/71,202.96
  6. Step 6: Final answer
    x = 56,960.30

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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.