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Finding the Fourth Proportional to 37,446.32, 51,673.32 and 20,678

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Solution

The fourth proportional to 37,446.32, 51,673.32 and 20,678 is: 28,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,446.32 : 51,673.32 = 20,678 : x
  2. Step 2: Convert to fraction form
    37,446.32/51,673.32 = 20,678/x
  3. Step 3: Cross multiply
    37,446.32x = 51,673.32 × 20,678
  4. Step 4: Simplify right side
    37,446.32x = 1,068,500,910.96
  5. Step 5: Solve for x
    x = 1,068,500,910.96/37,446.32
  6. Step 6: Final answer
    x = 28,534.20

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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.