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Finding the Fourth Proportional to 35,613.72, 49,142.62 and 19,696

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Solution

The fourth proportional to 35,613.72, 49,142.62 and 19,696 is: 27,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,613.72 : 49,142.62 = 19,696 : x
  2. Step 2: Convert to fraction form
    35,613.72/49,142.62 = 19,696/x
  3. Step 3: Cross multiply
    35,613.72x = 49,142.62 × 19,696
  4. Step 4: Simplify right side
    35,613.72x = 967,913,043.52
  5. Step 5: Solve for x
    x = 967,913,043.52/35,613.72
  6. Step 6: Final answer
    x = 27,178.09

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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.