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Finding the Fourth Proportional to 75,490.88, 104,174.88 and 41,956.16

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Solution

The fourth proportional to 75,490.88, 104,174.88 and 41,956.16 is: 57,898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,490.88 : 104,174.88 = 41,956.16 : x
  2. Step 2: Convert to fraction form
    75,490.88/104,174.88 = 41,956.16/x
  3. Step 3: Cross multiply
    75,490.88x = 104,174.88 × 41,956.16
  4. Step 4: Simplify right side
    75,490.88x = 4,370,777,933.26
  5. Step 5: Solve for x
    x = 4,370,777,933.26/75,490.88
  6. Step 6: Final answer
    x = 57,898.09

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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.