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Finding the Fourth Proportional to 55,254.33, 82,906.17 and 28,953

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Solution

The fourth proportional to 55,254.33, 82,906.17 and 28,953 is: 43,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,254.33 : 82,906.17 = 28,953 : x
  2. Step 2: Convert to fraction form
    55,254.33/82,906.17 = 28,953/x
  3. Step 3: Cross multiply
    55,254.33x = 82,906.17 × 28,953
  4. Step 4: Simplify right side
    55,254.33x = 2,400,382,340.01
  5. Step 5: Solve for x
    x = 2,400,382,340.01/55,254.33
  6. Step 6: Final answer
    x = 43,442.43

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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.