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Finding the Fourth Proportional to 73,142.89, 100,941.86 and 42,917.13

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Solution

The fourth proportional to 73,142.89, 100,941.86 and 42,917.13 is: 59,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,142.89 : 100,941.86 = 42,917.13 : x
  2. Step 2: Convert to fraction form
    73,142.89/100,941.86 = 42,917.13/x
  3. Step 3: Cross multiply
    73,142.89x = 100,941.86 × 42,917.13
  4. Step 4: Simplify right side
    73,142.89x = 4,332,135,035.35
  5. Step 5: Solve for x
    x = 4,332,135,035.35/73,142.89
  6. Step 6: Final answer
    x = 59,228.38

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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.