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Finding the Fourth Proportional to 78,162.92, 107,858.44 and 44,174.32

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Solution

The fourth proportional to 78,162.92, 107,858.44 and 44,174.32 is: 60,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,162.92 : 107,858.44 = 44,174.32 : x
  2. Step 2: Convert to fraction form
    78,162.92/107,858.44 = 44,174.32/x
  3. Step 3: Cross multiply
    78,162.92x = 107,858.44 × 44,174.32
  4. Step 4: Simplify right side
    78,162.92x = 4,764,573,243.26
  5. Step 5: Solve for x
    x = 4,764,573,243.26/78,162.92
  6. Step 6: Final answer
    x = 60,956.95

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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.