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Finding the Fourth Proportional to 33,027.35, 49,541.02 and 9,653.78

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Solution

The fourth proportional to 33,027.35, 49,541.02 and 9,653.78 is: 14,480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,027.35 : 49,541.02 = 9,653.78 : x
  2. Step 2: Convert to fraction form
    33,027.35/49,541.02 = 9,653.78/x
  3. Step 3: Cross multiply
    33,027.35x = 49,541.02 × 9,653.78
  4. Step 4: Simplify right side
    33,027.35x = 478,258,207.77
  5. Step 5: Solve for x
    x = 478,258,207.77/33,027.35
  6. Step 6: Final answer
    x = 14,480.67

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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.