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Finding the Fourth Proportional to 49,798.24, 74,676.24 and 14,728.48

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Solution

The fourth proportional to 49,798.24, 74,676.24 and 14,728.48 is: 22,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,798.24 : 74,676.24 = 14,728.48 : x
  2. Step 2: Convert to fraction form
    49,798.24/74,676.24 = 14,728.48/x
  3. Step 3: Cross multiply
    49,798.24x = 74,676.24 × 14,728.48
  4. Step 4: Simplify right side
    49,798.24x = 1,099,867,507.32
  5. Step 5: Solve for x
    x = 1,099,867,507.32/49,798.24
  6. Step 6: Final answer
    x = 22,086.47

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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.