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Finding the Fourth Proportional to 35,977.16, 49,648.80 and 19,845.09

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Solution

The fourth proportional to 35,977.16, 49,648.80 and 19,845.09 is: 27,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,977.16 : 49,648.80 = 19,845.09 : x
  2. Step 2: Convert to fraction form
    35,977.16/49,648.80 = 19,845.09/x
  3. Step 3: Cross multiply
    35,977.16x = 49,648.80 × 19,845.09
  4. Step 4: Simplify right side
    35,977.16x = 985,284,904.39
  5. Step 5: Solve for x
    x = 985,284,904.39/35,977.16
  6. Step 6: Final answer
    x = 27,386.40

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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.