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Finding the Fourth Proportional to 62,827.64, 86,704.02 and 35,978.84

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Solution

The fourth proportional to 62,827.64, 86,704.02 and 35,978.84 is: 49,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,827.64 : 86,704.02 = 35,978.84 : x
  2. Step 2: Convert to fraction form
    62,827.64/86,704.02 = 35,978.84/x
  3. Step 3: Cross multiply
    62,827.64x = 86,704.02 × 35,978.84
  4. Step 4: Simplify right side
    62,827.64x = 3,119,510,062.94
  5. Step 5: Solve for x
    x = 3,119,510,062.94/62,827.64
  6. Step 6: Final answer
    x = 49,651.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.