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Finding the Fourth Proportional to 49,908, 74,874.36 and 14,847.54

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Solution

The fourth proportional to 49,908, 74,874.36 and 14,847.54 is: 22,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,908 : 74,874.36 = 14,847.54 : x
  2. Step 2: Convert to fraction form
    49,908/74,874.36 = 14,847.54/x
  3. Step 3: Cross multiply
    49,908x = 74,874.36 × 14,847.54
  4. Step 4: Simplify right side
    49,908x = 1,111,700,055.07
  5. Step 5: Solve for x
    x = 1,111,700,055.07/49,908
  6. Step 6: Final answer
    x = 22,274.99

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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.