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Finding the Fourth Proportional to 71,231.29, 106,847.08 and 48,977.35

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Solution

The fourth proportional to 71,231.29, 106,847.08 and 48,977.35 is: 73,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,231.29 : 106,847.08 = 48,977.35 : x
  2. Step 2: Convert to fraction form
    71,231.29/106,847.08 = 48,977.35/x
  3. Step 3: Cross multiply
    71,231.29x = 106,847.08 × 48,977.35
  4. Step 4: Simplify right side
    71,231.29x = 5,233,086,833.64
  5. Step 5: Solve for x
    x = 5,233,086,833.64/71,231.29
  6. Step 6: Final answer
    x = 73,466.12

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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.