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Finding the Fourth Proportional to 35,785.98, 49,384.62 and 19,869.48

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Solution

The fourth proportional to 35,785.98, 49,384.62 and 19,869.48 is: 27,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,785.98 : 49,384.62 = 19,869.48 : x
  2. Step 2: Convert to fraction form
    35,785.98/49,384.62 = 19,869.48/x
  3. Step 3: Cross multiply
    35,785.98x = 49,384.62 × 19,869.48
  4. Step 4: Simplify right side
    35,785.98x = 981,246,719.40
  5. Step 5: Solve for x
    x = 981,246,719.40/35,785.98
  6. Step 6: Final answer
    x = 27,419.86

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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.