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Finding the Fourth Proportional to 37,116.84, 51,221.16 and 20,349.84

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Solution

The fourth proportional to 37,116.84, 51,221.16 and 20,349.84 is: 28,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,116.84 : 51,221.16 = 20,349.84 : x
  2. Step 2: Convert to fraction form
    37,116.84/51,221.16 = 20,349.84/x
  3. Step 3: Cross multiply
    37,116.84x = 51,221.16 × 20,349.84
  4. Step 4: Simplify right side
    37,116.84x = 1,042,342,410.61
  5. Step 5: Solve for x
    x = 1,042,342,410.61/37,116.84
  6. Step 6: Final answer
    x = 28,082.74

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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.