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Finding the Fourth Proportional to 73,793.50, 101,834.93 and 40,259.50

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Solution

The fourth proportional to 73,793.50, 101,834.93 and 40,259.50 is: 55,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,793.50 : 101,834.93 = 40,259.50 : x
  2. Step 2: Convert to fraction form
    73,793.50/101,834.93 = 40,259.50/x
  3. Step 3: Cross multiply
    73,793.50x = 101,834.93 × 40,259.50
  4. Step 4: Simplify right side
    73,793.50x = 4,099,823,364.34
  5. Step 5: Solve for x
    x = 4,099,823,364.34/73,793.50
  6. Step 6: Final answer
    x = 55,558.06

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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.