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Finding the Fourth Proportional to 30,178.83, 45,268.58 and 9,119.05

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Solution

The fourth proportional to 30,178.83, 45,268.58 and 9,119.05 is: 13,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.83 : 45,268.58 = 9,119.05 : x
  2. Step 2: Convert to fraction form
    30,178.83/45,268.58 = 9,119.05/x
  3. Step 3: Cross multiply
    30,178.83x = 45,268.58 × 9,119.05
  4. Step 4: Simplify right side
    30,178.83x = 412,806,354.08
  5. Step 5: Solve for x
    x = 412,806,354.08/30,178.83
  6. Step 6: Final answer
    x = 13,678.67

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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.