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Finding the Fourth Proportional to 75,486.63, 104,171.82 and 41,498.06

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Solution

The fourth proportional to 75,486.63, 104,171.82 and 41,498.06 is: 57,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,486.63 : 104,171.82 = 41,498.06 : x
  2. Step 2: Convert to fraction form
    75,486.63/104,171.82 = 41,498.06/x
  3. Step 3: Cross multiply
    75,486.63x = 104,171.82 × 41,498.06
  4. Step 4: Simplify right side
    75,486.63x = 4,322,928,436.67
  5. Step 5: Solve for x
    x = 4,322,928,436.67/75,486.63
  6. Step 6: Final answer
    x = 57,267.47

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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.