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Finding the Fourth Proportional to 49,649.10, 74,425.05 and 20,027.40

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Solution

The fourth proportional to 49,649.10, 74,425.05 and 20,027.40 is: 30,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,649.10 : 74,425.05 = 20,027.40 : x
  2. Step 2: Convert to fraction form
    49,649.10/74,425.05 = 20,027.40/x
  3. Step 3: Cross multiply
    49,649.10x = 74,425.05 × 20,027.40
  4. Step 4: Simplify right side
    49,649.10x = 1,490,540,246.37
  5. Step 5: Solve for x
    x = 1,490,540,246.37/49,649.10
  6. Step 6: Final answer
    x = 30,021.50

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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.