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Finding the Fourth Proportional to 73,735.79, 101,743.58 and 41,470.31

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Solution

The fourth proportional to 73,735.79, 101,743.58 and 41,470.31 is: 57,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,735.79 : 101,743.58 = 41,470.31 : x
  2. Step 2: Convert to fraction form
    73,735.79/101,743.58 = 41,470.31/x
  3. Step 3: Cross multiply
    73,735.79x = 101,743.58 × 41,470.31
  4. Step 4: Simplify right side
    73,735.79x = 4,219,338,161.14
  5. Step 5: Solve for x
    x = 4,219,338,161.14/73,735.79
  6. Step 6: Final answer
    x = 57,222.39

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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.