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Finding the Fourth Proportional to 37,682.92, 56,532.38 and 14,308.84

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Solution

The fourth proportional to 37,682.92, 56,532.38 and 14,308.84 is: 21,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682.92 : 56,532.38 = 14,308.84 : x
  2. Step 2: Convert to fraction form
    37,682.92/56,532.38 = 14,308.84/x
  3. Step 3: Cross multiply
    37,682.92x = 56,532.38 × 14,308.84
  4. Step 4: Simplify right side
    37,682.92x = 808,912,780.24
  5. Step 5: Solve for x
    x = 808,912,780.24/37,682.92
  6. Step 6: Final answer
    x = 21,466.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.