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Finding the Fourth Proportional to 49,785, 68,704.56 and 27,429

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Solution

The fourth proportional to 49,785, 68,704.56 and 27,429 is: 37,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,785 : 68,704.56 = 27,429 : x
  2. Step 2: Convert to fraction form
    49,785/68,704.56 = 27,429/x
  3. Step 3: Cross multiply
    49,785x = 68,704.56 × 27,429
  4. Step 4: Simplify right side
    49,785x = 1,884,497,376.24
  5. Step 5: Solve for x
    x = 1,884,497,376.24/49,785
  6. Step 6: Final answer
    x = 37,852.71

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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.