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Finding the Fourth Proportional to 62,108.31, 85,709.48 and 33,814

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Solution

The fourth proportional to 62,108.31, 85,709.48 and 33,814 is: 46,663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,108.31 : 85,709.48 = 33,814 : x
  2. Step 2: Convert to fraction form
    62,108.31/85,709.48 = 33,814/x
  3. Step 3: Cross multiply
    62,108.31x = 85,709.48 × 33,814
  4. Step 4: Simplify right side
    62,108.31x = 2,898,180,356.72
  5. Step 5: Solve for x
    x = 2,898,180,356.72/62,108.31
  6. Step 6: Final answer
    x = 46,663.33

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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.