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Finding the Fourth Proportional to 60,102, 82,943.64 and 33,606

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Solution

The fourth proportional to 60,102, 82,943.64 and 33,606 is: 46,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,102 : 82,943.64 = 33,606 : x
  2. Step 2: Convert to fraction form
    60,102/82,943.64 = 33,606/x
  3. Step 3: Cross multiply
    60,102x = 82,943.64 × 33,606
  4. Step 4: Simplify right side
    60,102x = 2,787,403,965.84
  5. Step 5: Solve for x
    x = 2,787,403,965.84/60,102
  6. Step 6: Final answer
    x = 46,377.89

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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.