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Finding the Fourth Proportional to 36,123.38, 49,852.89 and 20,212.96

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Solution

The fourth proportional to 36,123.38, 49,852.89 and 20,212.96 is: 27,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,123.38 : 49,852.89 = 20,212.96 : x
  2. Step 2: Convert to fraction form
    36,123.38/49,852.89 = 20,212.96/x
  3. Step 3: Cross multiply
    36,123.38x = 49,852.89 × 20,212.96
  4. Step 4: Simplify right side
    36,123.38x = 1,007,674,222.19
  5. Step 5: Solve for x
    x = 1,007,674,222.19/36,123.38
  6. Step 6: Final answer
    x = 27,895.35

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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.