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Finding the Fourth Proportional to 45,843.77, 68,742.96 and 16,257.17

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Solution

The fourth proportional to 45,843.77, 68,742.96 and 16,257.17 is: 24,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,843.77 : 68,742.96 = 16,257.17 : x
  2. Step 2: Convert to fraction form
    45,843.77/68,742.96 = 16,257.17/x
  3. Step 3: Cross multiply
    45,843.77x = 68,742.96 × 16,257.17
  4. Step 4: Simplify right side
    45,843.77x = 1,117,565,643.31
  5. Step 5: Solve for x
    x = 1,117,565,643.31/45,843.77
  6. Step 6: Final answer
    x = 24,377.70

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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.