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Finding the Fourth Proportional to 27,745, 41,621.64 and 10,213.48

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Solution

The fourth proportional to 27,745, 41,621.64 and 10,213.48 is: 15,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745 : 41,621.64 = 10,213.48 : x
  2. Step 2: Convert to fraction form
    27,745/41,621.64 = 10,213.48/x
  3. Step 3: Cross multiply
    27,745x = 41,621.64 × 10,213.48
  4. Step 4: Simplify right side
    27,745x = 425,101,787.71
  5. Step 5: Solve for x
    x = 425,101,787.71/27,745
  6. Step 6: Final answer
    x = 15,321.74

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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.