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Finding the Fourth Proportional to 60,398.80, 83,351.12 and 33,543

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Solution

The fourth proportional to 60,398.80, 83,351.12 and 33,543 is: 46,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,398.80 : 83,351.12 = 33,543 : x
  2. Step 2: Convert to fraction form
    60,398.80/83,351.12 = 33,543/x
  3. Step 3: Cross multiply
    60,398.80x = 83,351.12 × 33,543
  4. Step 4: Simplify right side
    60,398.80x = 2,795,846,618.16
  5. Step 5: Solve for x
    x = 2,795,846,618.16/60,398.80
  6. Step 6: Final answer
    x = 46,289.77

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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.