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Finding the Fourth Proportional to 73,896.96, 110,871.36 and 38,341.20

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Solution

The fourth proportional to 73,896.96, 110,871.36 and 38,341.20 is: 57,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,896.96 : 110,871.36 = 38,341.20 : x
  2. Step 2: Convert to fraction form
    73,896.96/110,871.36 = 38,341.20/x
  3. Step 3: Cross multiply
    73,896.96x = 110,871.36 × 38,341.20
  4. Step 4: Simplify right side
    73,896.96x = 4,250,940,988.03
  5. Step 5: Solve for x
    x = 4,250,940,988.03/73,896.96
  6. Step 6: Final answer
    x = 57,525.25

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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.