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Finding the Fourth Proportional to 67,223.13, 100,834.69 and 20,476

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Solution

The fourth proportional to 67,223.13, 100,834.69 and 20,476 is: 30,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,223.13 : 100,834.69 = 20,476 : x
  2. Step 2: Convert to fraction form
    67,223.13/100,834.69 = 20,476/x
  3. Step 3: Cross multiply
    67,223.13x = 100,834.69 × 20,476
  4. Step 4: Simplify right side
    67,223.13x = 2,064,691,112.44
  5. Step 5: Solve for x
    x = 2,064,691,112.44/67,223.13
  6. Step 6: Final answer
    x = 30,714.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.