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Finding the Fourth Proportional to 75,083.08, 103,615.38 and 41,549

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Solution

The fourth proportional to 75,083.08, 103,615.38 and 41,549 is: 57,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,083.08 : 103,615.38 = 41,549 : x
  2. Step 2: Convert to fraction form
    75,083.08/103,615.38 = 41,549/x
  3. Step 3: Cross multiply
    75,083.08x = 103,615.38 × 41,549
  4. Step 4: Simplify right side
    75,083.08x = 4,305,115,423.62
  5. Step 5: Solve for x
    x = 4,305,115,423.62/75,083.08
  6. Step 6: Final answer
    x = 57,338.02

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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.