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Finding the Fourth Proportional to 75,335.82, 112,866 and 35,281.32

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Solution

The fourth proportional to 75,335.82, 112,866 and 35,281.32 is: 52,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,335.82 : 112,866 = 35,281.32 : x
  2. Step 2: Convert to fraction form
    75,335.82/112,866 = 35,281.32/x
  3. Step 3: Cross multiply
    75,335.82x = 112,866 × 35,281.32
  4. Step 4: Simplify right side
    75,335.82x = 3,982,061,463.12
  5. Step 5: Solve for x
    x = 3,982,061,463.12/75,335.82
  6. Step 6: Final answer
    x = 52,857.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.