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Finding the Fourth Proportional to 35,732.91, 49,310.16 and 19,818.84

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Solution

The fourth proportional to 35,732.91, 49,310.16 and 19,818.84 is: 27,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,732.91 : 49,310.16 = 19,818.84 : x
  2. Step 2: Convert to fraction form
    35,732.91/49,310.16 = 19,818.84/x
  3. Step 3: Cross multiply
    35,732.91x = 49,310.16 × 19,818.84
  4. Step 4: Simplify right side
    35,732.91x = 977,269,924.86
  5. Step 5: Solve for x
    x = 977,269,924.86/35,732.91
  6. Step 6: Final answer
    x = 27,349.30

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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.