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Finding the Fourth Proportional to 37,448.32, 51,676.08 and 20,680

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Solution

The fourth proportional to 37,448.32, 51,676.08 and 20,680 is: 28,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,448.32 : 51,676.08 = 20,680 : x
  2. Step 2: Convert to fraction form
    37,448.32/51,676.08 = 20,680/x
  3. Step 3: Cross multiply
    37,448.32x = 51,676.08 × 20,680
  4. Step 4: Simplify right side
    37,448.32x = 1,068,661,334.40
  5. Step 5: Solve for x
    x = 1,068,661,334.40/37,448.32
  6. Step 6: Final answer
    x = 28,536.96

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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.