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Finding the Fourth Proportional to 92,198.98, 138,267.66 and 36,024.52

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Solution

The fourth proportional to 92,198.98, 138,267.66 and 36,024.52 is: 54,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,198.98 : 138,267.66 = 36,024.52 : x
  2. Step 2: Convert to fraction form
    92,198.98/138,267.66 = 36,024.52/x
  3. Step 3: Cross multiply
    92,198.98x = 138,267.66 × 36,024.52
  4. Step 4: Simplify right side
    92,198.98x = 4,981,026,083.02
  5. Step 5: Solve for x
    x = 4,981,026,083.02/92,198.98
  6. Step 6: Final answer
    x = 54,024.74

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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.