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Finding the Fourth Proportional to 75,212.50, 103,793.26 and 41,678.50

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Solution

The fourth proportional to 75,212.50, 103,793.26 and 41,678.50 is: 57,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212.50 : 103,793.26 = 41,678.50 : x
  2. Step 2: Convert to fraction form
    75,212.50/103,793.26 = 41,678.50/x
  3. Step 3: Cross multiply
    75,212.50x = 103,793.26 × 41,678.50
  4. Step 4: Simplify right side
    75,212.50x = 4,325,947,386.91
  5. Step 5: Solve for x
    x = 4,325,947,386.91/75,212.50
  6. Step 6: Final answer
    x = 57,516.34

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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.