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Finding the Fourth Proportional to 92,011.64, 138,046.62 and 32,846

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Solution

The fourth proportional to 92,011.64, 138,046.62 and 32,846 is: 49,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,011.64 : 138,046.62 = 32,846 : x
  2. Step 2: Convert to fraction form
    92,011.64/138,046.62 = 32,846/x
  3. Step 3: Cross multiply
    92,011.64x = 138,046.62 × 32,846
  4. Step 4: Simplify right side
    92,011.64x = 4,534,279,280.52
  5. Step 5: Solve for x
    x = 4,534,279,280.52/92,011.64
  6. Step 6: Final answer
    x = 49,279.41

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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.