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Finding the Fourth Proportional to 55,260, 82,791.72 and 31,838.04

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Solution

The fourth proportional to 55,260, 82,791.72 and 31,838.04 is: 47,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,260 : 82,791.72 = 31,838.04 : x
  2. Step 2: Convert to fraction form
    55,260/82,791.72 = 31,838.04/x
  3. Step 3: Cross multiply
    55,260x = 82,791.72 × 31,838.04
  4. Step 4: Simplify right side
    55,260x = 2,635,926,093.03
  5. Step 5: Solve for x
    x = 2,635,926,093.03/55,260
  6. Step 6: Final answer
    x = 47,700.44

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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.