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Finding the Fourth Proportional to 75,174.98, 103,712.54 and 42,911.42

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Solution

The fourth proportional to 75,174.98, 103,712.54 and 42,911.42 is: 59,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,174.98 : 103,712.54 = 42,911.42 : x
  2. Step 2: Convert to fraction form
    75,174.98/103,712.54 = 42,911.42/x
  3. Step 3: Cross multiply
    75,174.98x = 103,712.54 × 42,911.42
  4. Step 4: Simplify right side
    75,174.98x = 4,450,451,630.09
  5. Step 5: Solve for x
    x = 4,450,451,630.09/75,174.98
  6. Step 6: Final answer
    x = 59,201.24

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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.