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Finding the Fourth Proportional to 37,564, 51,838.68 and 20,797.36

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Solution

The fourth proportional to 37,564, 51,838.68 and 20,797.36 is: 28,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,564 : 51,838.68 = 20,797.36 : x
  2. Step 2: Convert to fraction form
    37,564/51,838.68 = 20,797.36/x
  3. Step 3: Cross multiply
    37,564x = 51,838.68 × 20,797.36
  4. Step 4: Simplify right side
    37,564x = 1,078,107,689.88
  5. Step 5: Solve for x
    x = 1,078,107,689.88/37,564
  6. Step 6: Final answer
    x = 28,700.56

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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.