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Finding the Fourth Proportional to 33,830.84, 50,747.88 and 8,871.50

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Solution

The fourth proportional to 33,830.84, 50,747.88 and 8,871.50 is: 13,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.84 : 50,747.88 = 8,871.50 : x
  2. Step 2: Convert to fraction form
    33,830.84/50,747.88 = 8,871.50/x
  3. Step 3: Cross multiply
    33,830.84x = 50,747.88 × 8,871.50
  4. Step 4: Simplify right side
    33,830.84x = 450,209,817.42
  5. Step 5: Solve for x
    x = 450,209,817.42/33,830.84
  6. Step 6: Final answer
    x = 13,307.67

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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.