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Finding the Fourth Proportional to 84,951.68, 117,219.52 and 47,224.96

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Solution

The fourth proportional to 84,951.68, 117,219.52 and 47,224.96 is: 65,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,951.68 : 117,219.52 = 47,224.96 : x
  2. Step 2: Convert to fraction form
    84,951.68/117,219.52 = 47,224.96/x
  3. Step 3: Cross multiply
    84,951.68x = 117,219.52 × 47,224.96
  4. Step 4: Simplify right side
    84,951.68x = 5,535,687,143.22
  5. Step 5: Solve for x
    x = 5,535,687,143.22/84,951.68
  6. Step 6: Final answer
    x = 65,162.77

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