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Finding the Fourth Proportional to 60,013, 82,817.94 and 33,517

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Solution

The fourth proportional to 60,013, 82,817.94 and 33,517 is: 46,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,013 : 82,817.94 = 33,517 : x
  2. Step 2: Convert to fraction form
    60,013/82,817.94 = 33,517/x
  3. Step 3: Cross multiply
    60,013x = 82,817.94 × 33,517
  4. Step 4: Simplify right side
    60,013x = 2,775,808,894.98
  5. Step 5: Solve for x
    x = 2,775,808,894.98/60,013
  6. Step 6: Final answer
    x = 46,253.46

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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.