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Finding the Fourth Proportional to 36,085.50, 49,798.89 and 20,172.60

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Solution

The fourth proportional to 36,085.50, 49,798.89 and 20,172.60 is: 27,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,085.50 : 49,798.89 = 20,172.60 : x
  2. Step 2: Convert to fraction form
    36,085.50/49,798.89 = 20,172.60/x
  3. Step 3: Cross multiply
    36,085.50x = 49,798.89 × 20,172.60
  4. Step 4: Simplify right side
    36,085.50x = 1,004,573,088.41
  5. Step 5: Solve for x
    x = 1,004,573,088.41/36,085.50
  6. Step 6: Final answer
    x = 27,838.69

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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.