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Finding the Fourth Proportional to 37,447.90, 51,678.51 and 20,452.64

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Solution

The fourth proportional to 37,447.90, 51,678.51 and 20,452.64 is: 28,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,447.90 : 51,678.51 = 20,452.64 : x
  2. Step 2: Convert to fraction form
    37,447.90/51,678.51 = 20,452.64/x
  3. Step 3: Cross multiply
    37,447.90x = 51,678.51 × 20,452.64
  4. Step 4: Simplify right side
    37,447.90x = 1,056,961,960.77
  5. Step 5: Solve for x
    x = 1,056,961,960.77/37,447.90
  6. Step 6: Final answer
    x = 28,224.87

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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.