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Finding the Fourth Proportional to 27,756, 41,644.50 and 16,670.46

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Solution

The fourth proportional to 27,756, 41,644.50 and 16,670.46 is: 25,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,756 : 41,644.50 = 16,670.46 : x
  2. Step 2: Convert to fraction form
    27,756/41,644.50 = 16,670.46/x
  3. Step 3: Cross multiply
    27,756x = 41,644.50 × 16,670.46
  4. Step 4: Simplify right side
    27,756x = 694,232,971.47
  5. Step 5: Solve for x
    x = 694,232,971.47/27,756
  6. Step 6: Final answer
    x = 25,012.00

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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.