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Finding the Fourth Proportional to 56,048, 77,351.76 and 41,876.24

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Solution

The fourth proportional to 56,048, 77,351.76 and 41,876.24 is: 57,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,048 : 77,351.76 = 41,876.24 : x
  2. Step 2: Convert to fraction form
    56,048/77,351.76 = 41,876.24/x
  3. Step 3: Cross multiply
    56,048x = 77,351.76 × 41,876.24
  4. Step 4: Simplify right side
    56,048x = 3,239,200,866.18
  5. Step 5: Solve for x
    x = 3,239,200,866.18/56,048
  6. Step 6: Final answer
    x = 57,793.34

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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.