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Finding the Fourth Proportional to 49,823.88, 74,737.80 and 19,843.80

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Solution

The fourth proportional to 49,823.88, 74,737.80 and 19,843.80 is: 29,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,823.88 : 74,737.80 = 19,843.80 : x
  2. Step 2: Convert to fraction form
    49,823.88/74,737.80 = 19,843.80/x
  3. Step 3: Cross multiply
    49,823.88x = 74,737.80 × 19,843.80
  4. Step 4: Simplify right side
    49,823.88x = 1,483,081,955.64
  5. Step 5: Solve for x
    x = 1,483,081,955.64/49,823.88
  6. Step 6: Final answer
    x = 29,766.49

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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.