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Finding the Fourth Proportional to 62,100, 85,698 and 33,804

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Solution

The fourth proportional to 62,100, 85,698 and 33,804 is: 46,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,100 : 85,698 = 33,804 : x
  2. Step 2: Convert to fraction form
    62,100/85,698 = 33,804/x
  3. Step 3: Cross multiply
    62,100x = 85,698 × 33,804
  4. Step 4: Simplify right side
    62,100x = 2,896,935,192
  5. Step 5: Solve for x
    x = 2,896,935,192/62,100
  6. Step 6: Final answer
    x = 46,649.52

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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.