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Finding the Fourth Proportional to 29,462.44, 44,200.94 and 9,741.36

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Solution

The fourth proportional to 29,462.44, 44,200.94 and 9,741.36 is: 14,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462.44 : 44,200.94 = 9,741.36 : x
  2. Step 2: Convert to fraction form
    29,462.44/44,200.94 = 9,741.36/x
  3. Step 3: Cross multiply
    29,462.44x = 44,200.94 × 9,741.36
  4. Step 4: Simplify right side
    29,462.44x = 430,577,268.88
  5. Step 5: Solve for x
    x = 430,577,268.88/29,462.44
  6. Step 6: Final answer
    x = 14,614.45

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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.