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Finding the Fourth Proportional to 36,146.44, 49,887.32 and 20,830

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Solution

The fourth proportional to 36,146.44, 49,887.32 and 20,830 is: 28,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,146.44 : 49,887.32 = 20,830 : x
  2. Step 2: Convert to fraction form
    36,146.44/49,887.32 = 20,830/x
  3. Step 3: Cross multiply
    36,146.44x = 49,887.32 × 20,830
  4. Step 4: Simplify right side
    36,146.44x = 1,039,152,875.60
  5. Step 5: Solve for x
    x = 1,039,152,875.60/36,146.44
  6. Step 6: Final answer
    x = 28,748.42

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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.