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Finding the Fourth Proportional to 75,193.94, 103,760.74 and 43,356.68

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Solution

The fourth proportional to 75,193.94, 103,760.74 and 43,356.68 is: 59,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,193.94 : 103,760.74 = 43,356.68 : x
  2. Step 2: Convert to fraction form
    75,193.94/103,760.74 = 43,356.68/x
  3. Step 3: Cross multiply
    75,193.94x = 103,760.74 × 43,356.68
  4. Step 4: Simplify right side
    75,193.94x = 4,498,721,351.75
  5. Step 5: Solve for x
    x = 4,498,721,351.75/75,193.94
  6. Step 6: Final answer
    x = 59,828.25

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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.