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Finding the Fourth Proportional to 29,568.64, 44,353.60 and 7,381.76

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Solution

The fourth proportional to 29,568.64, 44,353.60 and 7,381.76 is: 11,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,568.64 : 44,353.60 = 7,381.76 : x
  2. Step 2: Convert to fraction form
    29,568.64/44,353.60 = 7,381.76/x
  3. Step 3: Cross multiply
    29,568.64x = 44,353.60 × 7,381.76
  4. Step 4: Simplify right side
    29,568.64x = 327,407,630.34
  5. Step 5: Solve for x
    x = 327,407,630.34/29,568.64
  6. Step 6: Final answer
    x = 11,072.80

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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.