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Finding the Fourth Proportional to 56,676.78, 78,205.70 and 34,010.96

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Solution

The fourth proportional to 56,676.78, 78,205.70 and 34,010.96 is: 46,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,676.78 : 78,205.70 = 34,010.96 : x
  2. Step 2: Convert to fraction form
    56,676.78/78,205.70 = 34,010.96/x
  3. Step 3: Cross multiply
    56,676.78x = 78,205.70 × 34,010.96
  4. Step 4: Simplify right side
    56,676.78x = 2,659,850,628.47
  5. Step 5: Solve for x
    x = 2,659,850,628.47/56,676.78
  6. Step 6: Final answer
    x = 46,930.16

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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.