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Finding the Fourth Proportional to 36,071.38, 49,774.94 and 20,155.48

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Solution

The fourth proportional to 36,071.38, 49,774.94 and 20,155.48 is: 27,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,071.38 : 49,774.94 = 20,155.48 : x
  2. Step 2: Convert to fraction form
    36,071.38/49,774.94 = 20,155.48/x
  3. Step 3: Cross multiply
    36,071.38x = 49,774.94 × 20,155.48
  4. Step 4: Simplify right side
    36,071.38x = 1,003,237,807.67
  5. Step 5: Solve for x
    x = 1,003,237,807.67/36,071.38
  6. Step 6: Final answer
    x = 27,812.57

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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.