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Finding the Fourth Proportional to 56,951.31, 78,593.66 and 33,078

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Solution

The fourth proportional to 56,951.31, 78,593.66 and 33,078 is: 45,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,951.31 : 78,593.66 = 33,078 : x
  2. Step 2: Convert to fraction form
    56,951.31/78,593.66 = 33,078/x
  3. Step 3: Cross multiply
    56,951.31x = 78,593.66 × 33,078
  4. Step 4: Simplify right side
    56,951.31x = 2,599,720,920.09
  5. Step 5: Solve for x
    x = 2,599,720,920.09/56,951.31
  6. Step 6: Final answer
    x = 45,648.13

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Why These Related Problems?

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