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Finding the Fourth Proportional to 45,216.48, 67,799.84 and 35,916

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Solution

The fourth proportional to 45,216.48, 67,799.84 and 35,916 is: 53,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,216.48 : 67,799.84 = 35,916 : x
  2. Step 2: Convert to fraction form
    45,216.48/67,799.84 = 35,916/x
  3. Step 3: Cross multiply
    45,216.48x = 67,799.84 × 35,916
  4. Step 4: Simplify right side
    45,216.48x = 2,435,099,053.44
  5. Step 5: Solve for x
    x = 2,435,099,053.44/45,216.48
  6. Step 6: Final answer
    x = 53,854.24

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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.