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Finding the Fourth Proportional to 92,231.54, 138,381.34 and 36,098.54

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Solution

The fourth proportional to 92,231.54, 138,381.34 and 36,098.54 is: 54,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,231.54 : 138,381.34 = 36,098.54 : x
  2. Step 2: Convert to fraction form
    92,231.54/138,381.34 = 36,098.54/x
  3. Step 3: Cross multiply
    92,231.54x = 138,381.34 × 36,098.54
  4. Step 4: Simplify right side
    92,231.54x = 4,995,364,337.24
  5. Step 5: Solve for x
    x = 4,995,364,337.24/92,231.54
  6. Step 6: Final answer
    x = 54,161.13

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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.