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Finding the Fourth Proportional to 29,571.12, 44,362.08 and 9,847.80

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Solution

The fourth proportional to 29,571.12, 44,362.08 and 9,847.80 is: 14,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,571.12 : 44,362.08 = 9,847.80 : x
  2. Step 2: Convert to fraction form
    29,571.12/44,362.08 = 9,847.80/x
  3. Step 3: Cross multiply
    29,571.12x = 44,362.08 × 9,847.80
  4. Step 4: Simplify right side
    29,571.12x = 436,868,891.42
  5. Step 5: Solve for x
    x = 436,868,891.42/29,571.12
  6. Step 6: Final answer
    x = 14,773.50

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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.