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Finding the Fourth Proportional to 33,158.76, 49,743 and 9,782.16

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Solution

The fourth proportional to 33,158.76, 49,743 and 9,782.16 is: 14,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,158.76 : 49,743 = 9,782.16 : x
  2. Step 2: Convert to fraction form
    33,158.76/49,743 = 9,782.16/x
  3. Step 3: Cross multiply
    33,158.76x = 49,743 × 9,782.16
  4. Step 4: Simplify right side
    33,158.76x = 486,593,984.88
  5. Step 5: Solve for x
    x = 486,593,984.88/33,158.76
  6. Step 6: Final answer
    x = 14,674.67

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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.