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Finding the Fourth Proportional to 60,219, 83,102.22 and 33,723

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Solution

The fourth proportional to 60,219, 83,102.22 and 33,723 is: 46,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,219 : 83,102.22 = 33,723 : x
  2. Step 2: Convert to fraction form
    60,219/83,102.22 = 33,723/x
  3. Step 3: Cross multiply
    60,219x = 83,102.22 × 33,723
  4. Step 4: Simplify right side
    60,219x = 2,802,456,165.06
  5. Step 5: Solve for x
    x = 2,802,456,165.06/60,219
  6. Step 6: Final answer
    x = 46,537.74

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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.