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Finding the Fourth Proportional to 75,593.81, 104,319.56 and 42,059.81

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Solution

The fourth proportional to 75,593.81, 104,319.56 and 42,059.81 is: 58,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,593.81 : 104,319.56 = 42,059.81 : x
  2. Step 2: Convert to fraction form
    75,593.81/104,319.56 = 42,059.81/x
  3. Step 3: Cross multiply
    75,593.81x = 104,319.56 × 42,059.81
  4. Step 4: Simplify right side
    75,593.81x = 4,387,661,238.83
  5. Step 5: Solve for x
    x = 4,387,661,238.83/75,593.81
  6. Step 6: Final answer
    x = 58,042.60

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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.