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Finding the Fourth Proportional to 73,677.75, 101,675.30 and 40,143.75

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Solution

The fourth proportional to 73,677.75, 101,675.30 and 40,143.75 is: 55,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,677.75 : 101,675.30 = 40,143.75 : x
  2. Step 2: Convert to fraction form
    73,677.75/101,675.30 = 40,143.75/x
  3. Step 3: Cross multiply
    73,677.75x = 101,675.30 × 40,143.75
  4. Step 4: Simplify right side
    73,677.75x = 4,081,627,623.66
  5. Step 5: Solve for x
    x = 4,081,627,623.66/73,677.75
  6. Step 6: Final answer
    x = 55,398.38

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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.