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Finding the Fourth Proportional to 49,906.84, 74,849.24 and 14,360.28

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Solution

The fourth proportional to 49,906.84, 74,849.24 and 14,360.28 is: 21,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,906.84 : 74,849.24 = 14,360.28 : x
  2. Step 2: Convert to fraction form
    49,906.84/74,849.24 = 14,360.28/x
  3. Step 3: Cross multiply
    49,906.84x = 74,849.24 × 14,360.28
  4. Step 4: Simplify right side
    49,906.84x = 1,074,856,044.19
  5. Step 5: Solve for x
    x = 1,074,856,044.19/49,906.84
  6. Step 6: Final answer
    x = 21,537.25

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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.