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Finding the Fourth Proportional to 62,223.76, 85,866.92 and 33,930

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Solution

The fourth proportional to 62,223.76, 85,866.92 and 33,930 is: 46,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,223.76 : 85,866.92 = 33,930 : x
  2. Step 2: Convert to fraction form
    62,223.76/85,866.92 = 33,930/x
  3. Step 3: Cross multiply
    62,223.76x = 85,866.92 × 33,930
  4. Step 4: Simplify right side
    62,223.76x = 2,913,464,595.60
  5. Step 5: Solve for x
    x = 2,913,464,595.60/62,223.76
  6. Step 6: Final answer
    x = 46,822.38

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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.