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Finding the Fourth Proportional to 35,584.80, 49,107.52 and 19,669.20

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Solution

The fourth proportional to 35,584.80, 49,107.52 and 19,669.20 is: 27,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,584.80 : 49,107.52 = 19,669.20 : x
  2. Step 2: Convert to fraction form
    35,584.80/49,107.52 = 19,669.20/x
  3. Step 3: Cross multiply
    35,584.80x = 49,107.52 × 19,669.20
  4. Step 4: Simplify right side
    35,584.80x = 965,905,632.38
  5. Step 5: Solve for x
    x = 965,905,632.38/35,584.80
  6. Step 6: Final answer
    x = 27,143.77

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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.