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Finding the Fourth Proportional to 35,658.72, 49,209.12 and 19,743.84

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Solution

The fourth proportional to 35,658.72, 49,209.12 and 19,743.84 is: 27,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,658.72 : 49,209.12 = 19,743.84 : x
  2. Step 2: Convert to fraction form
    35,658.72/49,209.12 = 19,743.84/x
  3. Step 3: Cross multiply
    35,658.72x = 49,209.12 × 19,743.84
  4. Step 4: Simplify right side
    35,658.72x = 971,576,991.82
  5. Step 5: Solve for x
    x = 971,576,991.82/35,658.72
  6. Step 6: Final answer
    x = 27,246.55

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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.