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Finding the Fourth Proportional to 56,481.88, 77,948.24 and 34,133.08

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Solution

The fourth proportional to 56,481.88, 77,948.24 and 34,133.08 is: 47,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,481.88 : 77,948.24 = 34,133.08 : x
  2. Step 2: Convert to fraction form
    56,481.88/77,948.24 = 34,133.08/x
  3. Step 3: Cross multiply
    56,481.88x = 77,948.24 × 34,133.08
  4. Step 4: Simplify right side
    56,481.88x = 2,660,613,511.78
  5. Step 5: Solve for x
    x = 2,660,613,511.78/56,481.88
  6. Step 6: Final answer
    x = 47,105.61

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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.