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Finding the Fourth Proportional to 34,912.44, 52,376.87 and 9,952.85

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Solution

The fourth proportional to 34,912.44, 52,376.87 and 9,952.85 is: 14,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,912.44 : 52,376.87 = 9,952.85 : x
  2. Step 2: Convert to fraction form
    34,912.44/52,376.87 = 9,952.85/x
  3. Step 3: Cross multiply
    34,912.44x = 52,376.87 × 9,952.85
  4. Step 4: Simplify right side
    34,912.44x = 521,299,130.58
  5. Step 5: Solve for x
    x = 521,299,130.58/34,912.44
  6. Step 6: Final answer
    x = 14,931.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.