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Finding the Fourth Proportional to 30,277.05, 45,419.76 and 8,091.15

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Solution

The fourth proportional to 30,277.05, 45,419.76 and 8,091.15 is: 12,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.05 : 45,419.76 = 8,091.15 : x
  2. Step 2: Convert to fraction form
    30,277.05/45,419.76 = 8,091.15/x
  3. Step 3: Cross multiply
    30,277.05x = 45,419.76 × 8,091.15
  4. Step 4: Simplify right side
    30,277.05x = 367,498,091.12
  5. Step 5: Solve for x
    x = 367,498,091.12/30,277.05
  6. Step 6: Final answer
    x = 12,137.84

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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.