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Finding the Fourth Proportional to 36,130.24, 49,854.96 and 20,212.96

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Solution

The fourth proportional to 36,130.24, 49,854.96 and 20,212.96 is: 27,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,130.24 : 49,854.96 = 20,212.96 : x
  2. Step 2: Convert to fraction form
    36,130.24/49,854.96 = 20,212.96/x
  3. Step 3: Cross multiply
    36,130.24x = 49,854.96 × 20,212.96
  4. Step 4: Simplify right side
    36,130.24x = 1,007,716,312.28
  5. Step 5: Solve for x
    x = 1,007,716,312.28/36,130.24
  6. Step 6: Final answer
    x = 27,891.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.