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Finding the Fourth Proportional to 37,447.36, 51,676.64 and 20,680

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Solution

The fourth proportional to 37,447.36, 51,676.64 and 20,680 is: 28,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,447.36 : 51,676.64 = 20,680 : x
  2. Step 2: Convert to fraction form
    37,447.36/51,676.64 = 20,680/x
  3. Step 3: Cross multiply
    37,447.36x = 51,676.64 × 20,680
  4. Step 4: Simplify right side
    37,447.36x = 1,068,672,915.20
  5. Step 5: Solve for x
    x = 1,068,672,915.20/37,447.36
  6. Step 6: Final answer
    x = 28,538.00

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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.