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Finding the Fourth Proportional to 37,384, 51,589.92 and 22,480

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Solution

The fourth proportional to 37,384, 51,589.92 and 22,480 is: 31,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,384 : 51,589.92 = 22,480 : x
  2. Step 2: Convert to fraction form
    37,384/51,589.92 = 22,480/x
  3. Step 3: Cross multiply
    37,384x = 51,589.92 × 22,480
  4. Step 4: Simplify right side
    37,384x = 1,159,741,401.60
  5. Step 5: Solve for x
    x = 1,159,741,401.60/37,384
  6. Step 6: Final answer
    x = 31,022.40

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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.