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Finding the Fourth Proportional to 49,381.84, 74,081.98 and 19,801.99

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Solution

The fourth proportional to 49,381.84, 74,081.98 and 19,801.99 is: 29,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,381.84 : 74,081.98 = 19,801.99 : x
  2. Step 2: Convert to fraction form
    49,381.84/74,081.98 = 19,801.99/x
  3. Step 3: Cross multiply
    49,381.84x = 74,081.98 × 19,801.99
  4. Step 4: Simplify right side
    49,381.84x = 1,466,970,256.73
  5. Step 5: Solve for x
    x = 1,466,970,256.73/49,381.84
  6. Step 6: Final answer
    x = 29,706.68

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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.