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Finding the Fourth Proportional to 92,133.20, 138,272.70 and 36,000.20

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Solution

The fourth proportional to 92,133.20, 138,272.70 and 36,000.20 is: 54,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,133.20 : 138,272.70 = 36,000.20 : x
  2. Step 2: Convert to fraction form
    92,133.20/138,272.70 = 36,000.20/x
  3. Step 3: Cross multiply
    92,133.20x = 138,272.70 × 36,000.20
  4. Step 4: Simplify right side
    92,133.20x = 4,977,844,854.54
  5. Step 5: Solve for x
    x = 4,977,844,854.54/92,133.20
  6. Step 6: Final answer
    x = 54,028.79

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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.