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Finding the Fourth Proportional to 36,123.98, 49,853.27 and 20,208.08

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Solution

The fourth proportional to 36,123.98, 49,853.27 and 20,208.08 is: 27,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,123.98 : 49,853.27 = 20,208.08 : x
  2. Step 2: Convert to fraction form
    36,123.98/49,853.27 = 20,208.08/x
  3. Step 3: Cross multiply
    36,123.98x = 49,853.27 × 20,208.08
  4. Step 4: Simplify right side
    36,123.98x = 1,007,439,043.57
  5. Step 5: Solve for x
    x = 1,007,439,043.57/36,123.98
  6. Step 6: Final answer
    x = 27,888.38

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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.