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Finding the Fourth Proportional to 60,276, 83,181 and 33,780

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Solution

The fourth proportional to 60,276, 83,181 and 33,780 is: 46,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,276 : 83,181 = 33,780 : x
  2. Step 2: Convert to fraction form
    60,276/83,181 = 33,780/x
  3. Step 3: Cross multiply
    60,276x = 83,181 × 33,780
  4. Step 4: Simplify right side
    60,276x = 2,809,854,180
  5. Step 5: Solve for x
    x = 2,809,854,180/60,276
  6. Step 6: Final answer
    x = 46,616.47

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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.