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Finding the Fourth Proportional to 75,195.17, 103,762.43 and 43,357.92

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Solution

The fourth proportional to 75,195.17, 103,762.43 and 43,357.92 is: 59,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,195.17 : 103,762.43 = 43,357.92 : x
  2. Step 2: Convert to fraction form
    75,195.17/103,762.43 = 43,357.92/x
  3. Step 3: Cross multiply
    75,195.17x = 103,762.43 × 43,357.92
  4. Step 4: Simplify right side
    75,195.17x = 4,498,923,138.95
  5. Step 5: Solve for x
    x = 4,498,923,138.95/75,195.17
  6. Step 6: Final answer
    x = 59,829.95

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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.