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Finding the Fourth Proportional to 37,671, 51,988.41 and 20,904

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Solution

The fourth proportional to 37,671, 51,988.41 and 20,904 is: 28,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,671 : 51,988.41 = 20,904 : x
  2. Step 2: Convert to fraction form
    37,671/51,988.41 = 20,904/x
  3. Step 3: Cross multiply
    37,671x = 51,988.41 × 20,904
  4. Step 4: Simplify right side
    37,671x = 1,086,765,722.64
  5. Step 5: Solve for x
    x = 1,086,765,722.64/37,671
  6. Step 6: Final answer
    x = 28,848.87

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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.