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Finding the Fourth Proportional to 36,100.36, 49,818.36 and 20,184.76

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Solution

The fourth proportional to 36,100.36, 49,818.36 and 20,184.76 is: 27,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,100.36 : 49,818.36 = 20,184.76 : x
  2. Step 2: Convert to fraction form
    36,100.36/49,818.36 = 20,184.76/x
  3. Step 3: Cross multiply
    36,100.36x = 49,818.36 × 20,184.76
  4. Step 4: Simplify right side
    36,100.36x = 1,005,571,640.19
  5. Step 5: Solve for x
    x = 1,005,571,640.19/36,100.36
  6. Step 6: Final answer
    x = 27,854.89

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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.