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Finding the Fourth Proportional to 75,654.88, 104,401.84 and 41,663.10

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Solution

The fourth proportional to 75,654.88, 104,401.84 and 41,663.10 is: 57,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,654.88 : 104,401.84 = 41,663.10 : x
  2. Step 2: Convert to fraction form
    75,654.88/104,401.84 = 41,663.10/x
  3. Step 3: Cross multiply
    75,654.88x = 104,401.84 × 41,663.10
  4. Step 4: Simplify right side
    75,654.88x = 4,349,704,300.10
  5. Step 5: Solve for x
    x = 4,349,704,300.10/75,654.88
  6. Step 6: Final answer
    x = 57,494.03

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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.