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Finding the Fourth Proportional to 35,785.43, 49,383.64 and 19,869.94

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Solution

The fourth proportional to 35,785.43, 49,383.64 and 19,869.94 is: 27,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,785.43 : 49,383.64 = 19,869.94 : x
  2. Step 2: Convert to fraction form
    35,785.43/49,383.64 = 19,869.94/x
  3. Step 3: Cross multiply
    35,785.43x = 49,383.64 × 19,869.94
  4. Step 4: Simplify right side
    35,785.43x = 981,249,963.78
  5. Step 5: Solve for x
    x = 981,249,963.78/35,785.43
  6. Step 6: Final answer
    x = 27,420.38

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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.