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Finding the Fourth Proportional to 34,015.77, 51,023.58 and 9,055.82

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Solution

The fourth proportional to 34,015.77, 51,023.58 and 9,055.82 is: 13,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,015.77 : 51,023.58 = 9,055.82 : x
  2. Step 2: Convert to fraction form
    34,015.77/51,023.58 = 9,055.82/x
  3. Step 3: Cross multiply
    34,015.77x = 51,023.58 × 9,055.82
  4. Step 4: Simplify right side
    34,015.77x = 462,060,228.68
  5. Step 5: Solve for x
    x = 462,060,228.68/34,015.77
  6. Step 6: Final answer
    x = 13,583.71

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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.