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Finding the Fourth Proportional to 73,587.14, 101,564.26 and 41,759

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Solution

The fourth proportional to 73,587.14, 101,564.26 and 41,759 is: 57,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,587.14 : 101,564.26 = 41,759 : x
  2. Step 2: Convert to fraction form
    73,587.14/101,564.26 = 41,759/x
  3. Step 3: Cross multiply
    73,587.14x = 101,564.26 × 41,759
  4. Step 4: Simplify right side
    73,587.14x = 4,241,221,933.34
  5. Step 5: Solve for x
    x = 4,241,221,933.34/73,587.14
  6. Step 6: Final answer
    x = 57,635.37

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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.