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Finding the Fourth Proportional to 35,662.72, 49,214.64 and 19,747.84

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Solution

The fourth proportional to 35,662.72, 49,214.64 and 19,747.84 is: 27,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,662.72 : 49,214.64 = 19,747.84 : x
  2. Step 2: Convert to fraction form
    35,662.72/49,214.64 = 19,747.84/x
  3. Step 3: Cross multiply
    35,662.72x = 49,214.64 × 19,747.84
  4. Step 4: Simplify right side
    35,662.72x = 971,882,836.38
  5. Step 5: Solve for x
    x = 971,882,836.38/35,662.72
  6. Step 6: Final answer
    x = 27,252.07

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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.