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Finding the Fourth Proportional to 92,182.64, 138,294.12 and 29,859.44

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Solution

The fourth proportional to 92,182.64, 138,294.12 and 29,859.44 is: 44,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,182.64 : 138,294.12 = 29,859.44 : x
  2. Step 2: Convert to fraction form
    92,182.64/138,294.12 = 29,859.44/x
  3. Step 3: Cross multiply
    92,182.64x = 138,294.12 × 29,859.44
  4. Step 4: Simplify right side
    92,182.64x = 4,129,384,978.49
  5. Step 5: Solve for x
    x = 4,129,384,978.49/92,182.64
  6. Step 6: Final answer
    x = 44,795.69

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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.