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Finding the Fourth Proportional to 44,336.14, 61,182.68 and 24,193

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Solution

The fourth proportional to 44,336.14, 61,182.68 and 24,193 is: 33,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,336.14 : 61,182.68 = 24,193 : x
  2. Step 2: Convert to fraction form
    44,336.14/61,182.68 = 24,193/x
  3. Step 3: Cross multiply
    44,336.14x = 61,182.68 × 24,193
  4. Step 4: Simplify right side
    44,336.14x = 1,480,192,577.24
  5. Step 5: Solve for x
    x = 1,480,192,577.24/44,336.14
  6. Step 6: Final answer
    x = 33,385.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.