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Finding the Fourth Proportional to 29,412.36, 44,118.16 and 7,225.84

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Solution

The fourth proportional to 29,412.36, 44,118.16 and 7,225.84 is: 10,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,412.36 : 44,118.16 = 7,225.84 : x
  2. Step 2: Convert to fraction form
    29,412.36/44,118.16 = 7,225.84/x
  3. Step 3: Cross multiply
    29,412.36x = 44,118.16 × 7,225.84
  4. Step 4: Simplify right side
    29,412.36x = 318,790,765.25
  5. Step 5: Solve for x
    x = 318,790,765.25/29,412.36
  6. Step 6: Final answer
    x = 10,838.67

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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.