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Finding the Fourth Proportional to 35,788.16, 49,383 and 19,869.54

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Solution

The fourth proportional to 35,788.16, 49,383 and 19,869.54 is: 27,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,788.16 : 49,383 = 19,869.54 : x
  2. Step 2: Convert to fraction form
    35,788.16/49,383 = 19,869.54/x
  3. Step 3: Cross multiply
    35,788.16x = 49,383 × 19,869.54
  4. Step 4: Simplify right side
    35,788.16x = 981,217,308.63
  5. Step 5: Solve for x
    x = 981,217,308.63/35,788.16
  6. Step 6: Final answer
    x = 27,417.37

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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.