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Finding the Fourth Proportional to 49,764.70, 74,647.05 and 22,062.70

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Solution

The fourth proportional to 49,764.70, 74,647.05 and 22,062.70 is: 33,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764.70 : 74,647.05 = 22,062.70 : x
  2. Step 2: Convert to fraction form
    49,764.70/74,647.05 = 22,062.70/x
  3. Step 3: Cross multiply
    49,764.70x = 74,647.05 × 22,062.70
  4. Step 4: Simplify right side
    49,764.70x = 1,646,915,470.04
  5. Step 5: Solve for x
    x = 1,646,915,470.04/49,764.70
  6. Step 6: Final answer
    x = 33,094.05

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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.