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Finding the Fourth Proportional to 29,497.68, 44,256.24 and 10,783.44

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Solution

The fourth proportional to 29,497.68, 44,256.24 and 10,783.44 is: 16,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,497.68 : 44,256.24 = 10,783.44 : x
  2. Step 2: Convert to fraction form
    29,497.68/44,256.24 = 10,783.44/x
  3. Step 3: Cross multiply
    29,497.68x = 44,256.24 × 10,783.44
  4. Step 4: Simplify right side
    29,497.68x = 477,234,508.67
  5. Step 5: Solve for x
    x = 477,234,508.67/29,497.68
  6. Step 6: Final answer
    x = 16,178.71

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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.