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Finding the Fourth Proportional to 34,014.75, 51,025.95 and 9,055.77

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Solution

The fourth proportional to 34,014.75, 51,025.95 and 9,055.77 is: 13,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,014.75 : 51,025.95 = 9,055.77 : x
  2. Step 2: Convert to fraction form
    34,014.75/51,025.95 = 9,055.77/x
  3. Step 3: Cross multiply
    34,014.75x = 51,025.95 × 9,055.77
  4. Step 4: Simplify right side
    34,014.75x = 462,079,267.23
  5. Step 5: Solve for x
    x = 462,079,267.23/34,014.75
  6. Step 6: Final answer
    x = 13,584.67

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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.