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Finding the Fourth Proportional to 34,125.66, 51,195.96 and 10,435.14

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Solution

The fourth proportional to 34,125.66, 51,195.96 and 10,435.14 is: 15,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,125.66 : 51,195.96 = 10,435.14 : x
  2. Step 2: Convert to fraction form
    34,125.66/51,195.96 = 10,435.14/x
  3. Step 3: Cross multiply
    34,125.66x = 51,195.96 × 10,435.14
  4. Step 4: Simplify right side
    34,125.66x = 534,237,010.03
  5. Step 5: Solve for x
    x = 534,237,010.03/34,125.66
  6. Step 6: Final answer
    x = 15,654.99

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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.