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Finding the Fourth Proportional to 75,898.74, 104,734.86 and 41,901.74

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Solution

The fourth proportional to 75,898.74, 104,734.86 and 41,901.74 is: 57,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,898.74 : 104,734.86 = 41,901.74 : x
  2. Step 2: Convert to fraction form
    75,898.74/104,734.86 = 41,901.74/x
  3. Step 3: Cross multiply
    75,898.74x = 104,734.86 × 41,901.74
  4. Step 4: Simplify right side
    75,898.74x = 4,388,572,872.66
  5. Step 5: Solve for x
    x = 4,388,572,872.66/75,898.74
  6. Step 6: Final answer
    x = 57,821.42

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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.