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Finding the Fourth Proportional to 75,369, 104,010.54 and 41,380.68

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Solution

The fourth proportional to 75,369, 104,010.54 and 41,380.68 is: 57,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,369 : 104,010.54 = 41,380.68 : x
  2. Step 2: Convert to fraction form
    75,369/104,010.54 = 41,380.68/x
  3. Step 3: Cross multiply
    75,369x = 104,010.54 × 41,380.68
  4. Step 4: Simplify right side
    75,369x = 4,304,026,872.37
  5. Step 5: Solve for x
    x = 4,304,026,872.37/75,369
  6. Step 6: Final answer
    x = 57,106.06

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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.