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Finding the Fourth Proportional to 75,338, 103,966.36 and 41,346.68

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Solution

The fourth proportional to 75,338, 103,966.36 and 41,346.68 is: 57,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,338 : 103,966.36 = 41,346.68 : x
  2. Step 2: Convert to fraction form
    75,338/103,966.36 = 41,346.68/x
  3. Step 3: Cross multiply
    75,338x = 103,966.36 × 41,346.68
  4. Step 4: Simplify right side
    75,338x = 4,298,663,817.68
  5. Step 5: Solve for x
    x = 4,298,663,817.68/75,338
  6. Step 6: Final answer
    x = 57,058.37

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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.