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Finding the Fourth Proportional to 75,952.89, 104,813.15 and 41,964.63

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Solution

The fourth proportional to 75,952.89, 104,813.15 and 41,964.63 is: 57,910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952.89 : 104,813.15 = 41,964.63 : x
  2. Step 2: Convert to fraction form
    75,952.89/104,813.15 = 41,964.63/x
  3. Step 3: Cross multiply
    75,952.89x = 104,813.15 × 41,964.63
  4. Step 4: Simplify right side
    75,952.89x = 4,398,444,849.06
  5. Step 5: Solve for x
    x = 4,398,444,849.06/75,952.89
  6. Step 6: Final answer
    x = 57,910.17

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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.