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Finding the Fourth Proportional to 78,843.44, 118,293.12 and 49,226.96

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Solution

The fourth proportional to 78,843.44, 118,293.12 and 49,226.96 is: 73,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,843.44 : 118,293.12 = 49,226.96 : x
  2. Step 2: Convert to fraction form
    78,843.44/118,293.12 = 49,226.96/x
  3. Step 3: Cross multiply
    78,843.44x = 118,293.12 × 49,226.96
  4. Step 4: Simplify right side
    78,843.44x = 5,823,210,686.52
  5. Step 5: Solve for x
    x = 5,823,210,686.52/78,843.44
  6. Step 6: Final answer
    x = 73,857.90

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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.