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Finding the Fourth Proportional to 49,476.69, 74,218.48 and 19,894.55

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Solution

The fourth proportional to 49,476.69, 74,218.48 and 19,894.55 is: 29,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,476.69 : 74,218.48 = 19,894.55 : x
  2. Step 2: Convert to fraction form
    49,476.69/74,218.48 = 19,894.55/x
  3. Step 3: Cross multiply
    49,476.69x = 74,218.48 × 19,894.55
  4. Step 4: Simplify right side
    49,476.69x = 1,476,542,840.46
  5. Step 5: Solve for x
    x = 1,476,542,840.46/49,476.69
  6. Step 6: Final answer
    x = 29,843.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.