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Finding the Fourth Proportional to 75,327.44, 103,948.25 and 41,335.11

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Solution

The fourth proportional to 75,327.44, 103,948.25 and 41,335.11 is: 57,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,327.44 : 103,948.25 = 41,335.11 : x
  2. Step 2: Convert to fraction form
    75,327.44/103,948.25 = 41,335.11/x
  3. Step 3: Cross multiply
    75,327.44x = 103,948.25 × 41,335.11
  4. Step 4: Simplify right side
    75,327.44x = 4,296,712,141.38
  5. Step 5: Solve for x
    x = 4,296,712,141.38/75,327.44
  6. Step 6: Final answer
    x = 57,040.47

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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.