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Finding the Fourth Proportional to 37,452.32, 51,681.60 and 20,684

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Solution

The fourth proportional to 37,452.32, 51,681.60 and 20,684 is: 28,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,452.32 : 51,681.60 = 20,684 : x
  2. Step 2: Convert to fraction form
    37,452.32/51,681.60 = 20,684/x
  3. Step 3: Cross multiply
    37,452.32x = 51,681.60 × 20,684
  4. Step 4: Simplify right side
    37,452.32x = 1,068,982,214.40
  5. Step 5: Solve for x
    x = 1,068,982,214.40/37,452.32
  6. Step 6: Final answer
    x = 28,542.48

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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.