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Finding the Fourth Proportional to 41,166.84, 61,750.26 and 10,002

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Solution

The fourth proportional to 41,166.84, 61,750.26 and 10,002 is: 15,003

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,166.84 : 61,750.26 = 10,002 : x
  2. Step 2: Convert to fraction form
    41,166.84/61,750.26 = 10,002/x
  3. Step 3: Cross multiply
    41,166.84x = 61,750.26 × 10,002
  4. Step 4: Simplify right side
    41,166.84x = 617,626,100.52
  5. Step 5: Solve for x
    x = 617,626,100.52/41,166.84
  6. Step 6: Final answer
    x = 15,003

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.