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Finding the Fourth Proportional to 37,164, 51,286.32 and 20,398.08

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Solution

The fourth proportional to 37,164, 51,286.32 and 20,398.08 is: 28,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,164 : 51,286.32 = 20,398.08 : x
  2. Step 2: Convert to fraction form
    37,164/51,286.32 = 20,398.08/x
  3. Step 3: Cross multiply
    37,164x = 51,286.32 × 20,398.08
  4. Step 4: Simplify right side
    37,164x = 1,046,142,458.27
  5. Step 5: Solve for x
    x = 1,046,142,458.27/37,164
  6. Step 6: Final answer
    x = 28,149.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.