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Finding the Fourth Proportional to 30,313.40, 45,472.77 and 9,258.20

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Solution

The fourth proportional to 30,313.40, 45,472.77 and 9,258.20 is: 13,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.40 : 45,472.77 = 9,258.20 : x
  2. Step 2: Convert to fraction form
    30,313.40/45,472.77 = 9,258.20/x
  3. Step 3: Cross multiply
    30,313.40x = 45,472.77 × 9,258.20
  4. Step 4: Simplify right side
    30,313.40x = 420,995,771.85
  5. Step 5: Solve for x
    x = 420,995,771.85/30,313.40
  6. Step 6: Final answer
    x = 13,888.11

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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.