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Finding the Fourth Proportional to 75,994.56, 104,869.22 and 42,001.29

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Solution

The fourth proportional to 75,994.56, 104,869.22 and 42,001.29 is: 57,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,994.56 : 104,869.22 = 42,001.29 : x
  2. Step 2: Convert to fraction form
    75,994.56/104,869.22 = 42,001.29/x
  3. Step 3: Cross multiply
    75,994.56x = 104,869.22 × 42,001.29
  4. Step 4: Simplify right side
    75,994.56x = 4,404,642,311.29
  5. Step 5: Solve for x
    x = 4,404,642,311.29/75,994.56
  6. Step 6: Final answer
    x = 57,959.97

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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.