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Finding the Fourth Proportional to 70,974.78, 106,360.11 and 48,813.18

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Solution

The fourth proportional to 70,974.78, 106,360.11 and 48,813.18 is: 73,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,974.78 : 106,360.11 = 48,813.18 : x
  2. Step 2: Convert to fraction form
    70,974.78/106,360.11 = 48,813.18/x
  3. Step 3: Cross multiply
    70,974.78x = 106,360.11 × 48,813.18
  4. Step 4: Simplify right side
    70,974.78x = 5,191,775,194.25
  5. Step 5: Solve for x
    x = 5,191,775,194.25/70,974.78
  6. Step 6: Final answer
    x = 73,149.58

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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.