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Finding the Fourth Proportional to 37,089, 51,182.84 and 20,322

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Solution

The fourth proportional to 37,089, 51,182.84 and 20,322 is: 28,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,089 : 51,182.84 = 20,322 : x
  2. Step 2: Convert to fraction form
    37,089/51,182.84 = 20,322/x
  3. Step 3: Cross multiply
    37,089x = 51,182.84 × 20,322
  4. Step 4: Simplify right side
    37,089x = 1,040,137,674.48
  5. Step 5: Solve for x
    x = 1,040,137,674.48/37,089
  6. Step 6: Final answer
    x = 28,044.37

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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.