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Finding the Fourth Proportional to 73,734.74, 101,762.60 and 41,908.42

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Solution

The fourth proportional to 73,734.74, 101,762.60 and 41,908.42 is: 57,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,734.74 : 101,762.60 = 41,908.42 : x
  2. Step 2: Convert to fraction form
    73,734.74/101,762.60 = 41,908.42/x
  3. Step 3: Cross multiply
    73,734.74x = 101,762.60 × 41,908.42
  4. Step 4: Simplify right side
    73,734.74x = 4,264,709,698.75
  5. Step 5: Solve for x
    x = 4,264,709,698.75/73,734.74
  6. Step 6: Final answer
    x = 57,838.54

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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.