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Finding the Fourth Proportional to 92,009.32, 138,013.90 and 29,679.82

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Solution

The fourth proportional to 92,009.32, 138,013.90 and 29,679.82 is: 44,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,009.32 : 138,013.90 = 29,679.82 : x
  2. Step 2: Convert to fraction form
    92,009.32/138,013.90 = 29,679.82/x
  3. Step 3: Cross multiply
    92,009.32x = 138,013.90 × 29,679.82
  4. Step 4: Simplify right side
    92,009.32x = 4,096,227,709.50
  5. Step 5: Solve for x
    x = 4,096,227,709.50/92,009.32
  6. Step 6: Final answer
    x = 44,519.70

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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.