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Finding the Fourth Proportional to 73,692, 101,694.96 and 40,158

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Solution

The fourth proportional to 73,692, 101,694.96 and 40,158 is: 55,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,692 : 101,694.96 = 40,158 : x
  2. Step 2: Convert to fraction form
    73,692/101,694.96 = 40,158/x
  3. Step 3: Cross multiply
    73,692x = 101,694.96 × 40,158
  4. Step 4: Simplify right side
    73,692x = 4,083,866,203.68
  5. Step 5: Solve for x
    x = 4,083,866,203.68/73,692
  6. Step 6: Final answer
    x = 55,418.04

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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.