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Finding the Fourth Proportional to 36,420.38, 50,109.84 and 28,448.78

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Solution

The fourth proportional to 36,420.38, 50,109.84 and 28,448.78 is: 39,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,420.38 : 50,109.84 = 28,448.78 : x
  2. Step 2: Convert to fraction form
    36,420.38/50,109.84 = 28,448.78/x
  3. Step 3: Cross multiply
    36,420.38x = 50,109.84 × 28,448.78
  4. Step 4: Simplify right side
    36,420.38x = 1,425,563,814.00
  5. Step 5: Solve for x
    x = 1,425,563,814.00/36,420.38
  6. Step 6: Final answer
    x = 39,141.93

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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.