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Finding the Fourth Proportional to 92,059.44, 138,094.92 and 36,654

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Solution

The fourth proportional to 92,059.44, 138,094.92 and 36,654 is: 54,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,059.44 : 138,094.92 = 36,654 : x
  2. Step 2: Convert to fraction form
    92,059.44/138,094.92 = 36,654/x
  3. Step 3: Cross multiply
    92,059.44x = 138,094.92 × 36,654
  4. Step 4: Simplify right side
    92,059.44x = 5,061,731,197.68
  5. Step 5: Solve for x
    x = 5,061,731,197.68/92,059.44
  6. Step 6: Final answer
    x = 54,983.29

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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.