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Finding the Fourth Proportional to 41,985.84, 62,978.99 and 10,821.09

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Solution

The fourth proportional to 41,985.84, 62,978.99 and 10,821.09 is: 16,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,985.84 : 62,978.99 = 10,821.09 : x
  2. Step 2: Convert to fraction form
    41,985.84/62,978.99 = 10,821.09/x
  3. Step 3: Cross multiply
    41,985.84x = 62,978.99 × 10,821.09
  4. Step 4: Simplify right side
    41,985.84x = 681,501,592.27
  5. Step 5: Solve for x
    x = 681,501,592.27/41,985.84
  6. Step 6: Final answer
    x = 16,231.70

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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.