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Finding the Fourth Proportional to 34,106.21, 51,162.31 and 10,419.10

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Solution

The fourth proportional to 34,106.21, 51,162.31 and 10,419.10 is: 15,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,106.21 : 51,162.31 = 10,419.10 : x
  2. Step 2: Convert to fraction form
    34,106.21/51,162.31 = 10,419.10/x
  3. Step 3: Cross multiply
    34,106.21x = 51,162.31 × 10,419.10
  4. Step 4: Simplify right side
    34,106.21x = 533,065,224.12
  5. Step 5: Solve for x
    x = 533,065,224.12/34,106.21
  6. Step 6: Final answer
    x = 15,629.56

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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.