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Finding the Fourth Proportional to 29,469.15, 44,186.72 and 9,742.41

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Solution

The fourth proportional to 29,469.15, 44,186.72 and 9,742.41 is: 14,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,469.15 : 44,186.72 = 9,742.41 : x
  2. Step 2: Convert to fraction form
    29,469.15/44,186.72 = 9,742.41/x
  3. Step 3: Cross multiply
    29,469.15x = 44,186.72 × 9,742.41
  4. Step 4: Simplify right side
    29,469.15x = 430,485,094.08
  5. Step 5: Solve for x
    x = 430,485,094.08/29,469.15
  6. Step 6: Final answer
    x = 14,607.99

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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.