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Finding the Fourth Proportional to 92,044.16, 138,032.16 and 32,864

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Solution

The fourth proportional to 92,044.16, 138,032.16 and 32,864 is: 49,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,044.16 : 138,032.16 = 32,864 : x
  2. Step 2: Convert to fraction form
    92,044.16/138,032.16 = 32,864/x
  3. Step 3: Cross multiply
    92,044.16x = 138,032.16 × 32,864
  4. Step 4: Simplify right side
    92,044.16x = 4,536,288,906.24
  5. Step 5: Solve for x
    x = 4,536,288,906.24/92,044.16
  6. Step 6: Final answer
    x = 49,283.83

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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.