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Finding the Fourth Proportional to 84,954.68, 117,223.66 and 47,227.96

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Solution

The fourth proportional to 84,954.68, 117,223.66 and 47,227.96 is: 65,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,954.68 : 117,223.66 = 47,227.96 : x
  2. Step 2: Convert to fraction form
    84,954.68/117,223.66 = 47,227.96/x
  3. Step 3: Cross multiply
    84,954.68x = 117,223.66 × 47,227.96
  4. Step 4: Simplify right side
    84,954.68x = 5,536,234,325.53
  5. Step 5: Solve for x
    x = 5,536,234,325.53/84,954.68
  6. Step 6: Final answer
    x = 65,166.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.