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Finding the Fourth Proportional to 36,990.52, 51,047.70 and 20,223.16

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Solution

The fourth proportional to 36,990.52, 51,047.70 and 20,223.16 is: 27,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,990.52 : 51,047.70 = 20,223.16 : x
  2. Step 2: Convert to fraction form
    36,990.52/51,047.70 = 20,223.16/x
  3. Step 3: Cross multiply
    36,990.52x = 51,047.70 × 20,223.16
  4. Step 4: Simplify right side
    36,990.52x = 1,032,345,804.73
  5. Step 5: Solve for x
    x = 1,032,345,804.73/36,990.52
  6. Step 6: Final answer
    x = 27,908.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.