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Finding the Fourth Proportional to 92,165.12, 138,269.64 and 29,835.64

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Solution

The fourth proportional to 92,165.12, 138,269.64 and 29,835.64 is: 44,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,165.12 : 138,269.64 = 29,835.64 : x
  2. Step 2: Convert to fraction form
    92,165.12/138,269.64 = 29,835.64/x
  3. Step 3: Cross multiply
    92,165.12x = 138,269.64 × 29,835.64
  4. Step 4: Simplify right side
    92,165.12x = 4,125,363,201.97
  5. Step 5: Solve for x
    x = 4,125,363,201.97/92,165.12
  6. Step 6: Final answer
    x = 44,760.57

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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.