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Finding the Fourth Proportional to 92,063.96, 138,095.01 and 32,092.31

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Solution

The fourth proportional to 92,063.96, 138,095.01 and 32,092.31 is: 48,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,063.96 : 138,095.01 = 32,092.31 : x
  2. Step 2: Convert to fraction form
    92,063.96/138,095.01 = 32,092.31/x
  3. Step 3: Cross multiply
    92,063.96x = 138,095.01 × 32,092.31
  4. Step 4: Simplify right side
    92,063.96x = 4,431,787,019.44
  5. Step 5: Solve for x
    x = 4,431,787,019.44/92,063.96
  6. Step 6: Final answer
    x = 48,138.13

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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.