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Finding the Fourth Proportional to 34,131.33, 51,203.78 and 10,442.21

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Solution

The fourth proportional to 34,131.33, 51,203.78 and 10,442.21 is: 15,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,131.33 : 51,203.78 = 10,442.21 : x
  2. Step 2: Convert to fraction form
    34,131.33/51,203.78 = 10,442.21/x
  3. Step 3: Cross multiply
    34,131.33x = 51,203.78 × 10,442.21
  4. Step 4: Simplify right side
    34,131.33x = 534,680,315.32
  5. Step 5: Solve for x
    x = 534,680,315.32/34,131.33
  6. Step 6: Final answer
    x = 15,665.38

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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.