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Finding the Fourth Proportional to 49,902.84, 74,843.24 and 14,356.28

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Solution

The fourth proportional to 49,902.84, 74,843.24 and 14,356.28 is: 21,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902.84 : 74,843.24 = 14,356.28 : x
  2. Step 2: Convert to fraction form
    49,902.84/74,843.24 = 14,356.28/x
  3. Step 3: Cross multiply
    49,902.84x = 74,843.24 × 14,356.28
  4. Step 4: Simplify right side
    49,902.84x = 1,074,470,509.55
  5. Step 5: Solve for x
    x = 1,074,470,509.55/49,902.84
  6. Step 6: Final answer
    x = 21,531.25

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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.