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Finding the Fourth Proportional to 92,357.28, 138,530.16 and 36,195.12

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Solution

The fourth proportional to 92,357.28, 138,530.16 and 36,195.12 is: 54,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,357.28 : 138,530.16 = 36,195.12 : x
  2. Step 2: Convert to fraction form
    92,357.28/138,530.16 = 36,195.12/x
  3. Step 3: Cross multiply
    92,357.28x = 138,530.16 × 36,195.12
  4. Step 4: Simplify right side
    92,357.28x = 5,014,115,764.82
  5. Step 5: Solve for x
    x = 5,014,115,764.82/92,357.28
  6. Step 6: Final answer
    x = 54,290.42

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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.