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Finding the Fourth Proportional to 75,338, 103,969.68 and 41,804

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Solution

The fourth proportional to 75,338, 103,969.68 and 41,804 is: 57,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,338 : 103,969.68 = 41,804 : x
  2. Step 2: Convert to fraction form
    75,338/103,969.68 = 41,804/x
  3. Step 3: Cross multiply
    75,338x = 103,969.68 × 41,804
  4. Step 4: Simplify right side
    75,338x = 4,346,348,502.72
  5. Step 5: Solve for x
    x = 4,346,348,502.72/75,338
  6. Step 6: Final answer
    x = 57,691.32

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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.