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Finding the Fourth Proportional to 34,223.54, 51,337.12 and 10,851.80

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Solution

The fourth proportional to 34,223.54, 51,337.12 and 10,851.80 is: 16,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,223.54 : 51,337.12 = 10,851.80 : x
  2. Step 2: Convert to fraction form
    34,223.54/51,337.12 = 10,851.80/x
  3. Step 3: Cross multiply
    34,223.54x = 51,337.12 × 10,851.80
  4. Step 4: Simplify right side
    34,223.54x = 557,100,158.82
  5. Step 5: Solve for x
    x = 557,100,158.82/34,223.54
  6. Step 6: Final answer
    x = 16,278.27

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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.