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Finding the Fourth Proportional to 71,108.94, 106,439.70 and 48,791.82

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Solution

The fourth proportional to 71,108.94, 106,439.70 and 48,791.82 is: 73,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,108.94 : 106,439.70 = 48,791.82 : x
  2. Step 2: Convert to fraction form
    71,108.94/106,439.70 = 48,791.82/x
  3. Step 3: Cross multiply
    71,108.94x = 106,439.70 × 48,791.82
  4. Step 4: Simplify right side
    71,108.94x = 5,193,386,683.25
  5. Step 5: Solve for x
    x = 5,193,386,683.25/71,108.94
  6. Step 6: Final answer
    x = 73,034.23

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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.