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Finding the Fourth Proportional to 92,141.88, 138,125.22 and 36,018

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Solution

The fourth proportional to 92,141.88, 138,125.22 and 36,018 is: 53,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,141.88 : 138,125.22 = 36,018 : x
  2. Step 2: Convert to fraction form
    92,141.88/138,125.22 = 36,018/x
  3. Step 3: Cross multiply
    92,141.88x = 138,125.22 × 36,018
  4. Step 4: Simplify right side
    92,141.88x = 4,974,994,173.96
  5. Step 5: Solve for x
    x = 4,974,994,173.96/92,141.88
  6. Step 6: Final answer
    x = 53,992.76

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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.