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Finding the Fourth Proportional to 37,448.50, 51,678.93 and 20,682.58

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Solution

The fourth proportional to 37,448.50, 51,678.93 and 20,682.58 is: 28,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,448.50 : 51,678.93 = 20,682.58 : x
  2. Step 2: Convert to fraction form
    37,448.50/51,678.93 = 20,682.58/x
  3. Step 3: Cross multiply
    37,448.50x = 51,678.93 × 20,682.58
  4. Step 4: Simplify right side
    37,448.50x = 1,068,853,604.04
  5. Step 5: Solve for x
    x = 1,068,853,604.04/37,448.50
  6. Step 6: Final answer
    x = 28,541.96

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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.