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Finding the Fourth Proportional to 36,038.94, 49,733.72 and 20,123.38

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Solution

The fourth proportional to 36,038.94, 49,733.72 and 20,123.38 is: 27,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,038.94 : 49,733.72 = 20,123.38 : x
  2. Step 2: Convert to fraction form
    36,038.94/49,733.72 = 20,123.38/x
  3. Step 3: Cross multiply
    36,038.94x = 49,733.72 × 20,123.38
  4. Step 4: Simplify right side
    36,038.94x = 1,000,810,546.37
  5. Step 5: Solve for x
    x = 1,000,810,546.37/36,038.94
  6. Step 6: Final answer
    x = 27,770.25

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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.