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Finding the Fourth Proportional to 49,798.28, 74,712.06 and 14,738.85

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Solution

The fourth proportional to 49,798.28, 74,712.06 and 14,738.85 is: 22,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,798.28 : 74,712.06 = 14,738.85 : x
  2. Step 2: Convert to fraction form
    49,798.28/74,712.06 = 14,738.85/x
  3. Step 3: Cross multiply
    49,798.28x = 74,712.06 × 14,738.85
  4. Step 4: Simplify right side
    49,798.28x = 1,101,169,771.84
  5. Step 5: Solve for x
    x = 1,101,169,771.84/49,798.28
  6. Step 6: Final answer
    x = 22,112.61

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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.