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Finding the Fourth Proportional to 36,085.68, 49,798.10 and 20,170.12

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Solution

The fourth proportional to 36,085.68, 49,798.10 and 20,170.12 is: 27,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,085.68 : 49,798.10 = 20,170.12 : x
  2. Step 2: Convert to fraction form
    36,085.68/49,798.10 = 20,170.12/x
  3. Step 3: Cross multiply
    36,085.68x = 49,798.10 × 20,170.12
  4. Step 4: Simplify right side
    36,085.68x = 1,004,433,652.77
  5. Step 5: Solve for x
    x = 1,004,433,652.77/36,085.68
  6. Step 6: Final answer
    x = 27,834.69

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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.