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Finding the Fourth Proportional to 30,255.56, 45,383.34 and 9,195.78

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Solution

The fourth proportional to 30,255.56, 45,383.34 and 9,195.78 is: 13,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,255.56 : 45,383.34 = 9,195.78 : x
  2. Step 2: Convert to fraction form
    30,255.56/45,383.34 = 9,195.78/x
  3. Step 3: Cross multiply
    30,255.56x = 45,383.34 × 9,195.78
  4. Step 4: Simplify right side
    30,255.56x = 417,335,210.31
  5. Step 5: Solve for x
    x = 417,335,210.31/30,255.56
  6. Step 6: Final answer
    x = 13,793.67

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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.