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Finding the Fourth Proportional to 45,856.91, 68,696.80 and 33,827.87

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Solution

The fourth proportional to 45,856.91, 68,696.80 and 33,827.87 is: 50,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,856.91 : 68,696.80 = 33,827.87 : x
  2. Step 2: Convert to fraction form
    45,856.91/68,696.80 = 33,827.87/x
  3. Step 3: Cross multiply
    45,856.91x = 68,696.80 × 33,827.87
  4. Step 4: Simplify right side
    45,856.91x = 2,323,866,419.82
  5. Step 5: Solve for x
    x = 2,323,866,419.82/45,856.91
  6. Step 6: Final answer
    x = 50,676.47

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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.