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Finding the Fourth Proportional to 34,015.14, 51,022.64 and 9,055.19

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Solution

The fourth proportional to 34,015.14, 51,022.64 and 9,055.19 is: 13,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,015.14 : 51,022.64 = 9,055.19 : x
  2. Step 2: Convert to fraction form
    34,015.14/51,022.64 = 9,055.19/x
  3. Step 3: Cross multiply
    34,015.14x = 51,022.64 × 9,055.19
  4. Step 4: Simplify right side
    34,015.14x = 462,019,849.70
  5. Step 5: Solve for x
    x = 462,019,849.70/34,015.14
  6. Step 6: Final answer
    x = 13,582.77

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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.