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Finding the Fourth Proportional to 29,464.64, 44,192.57 and 9,743.30

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Solution

The fourth proportional to 29,464.64, 44,192.57 and 9,743.30 is: 14,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,464.64 : 44,192.57 = 9,743.30 : x
  2. Step 2: Convert to fraction form
    29,464.64/44,192.57 = 9,743.30/x
  3. Step 3: Cross multiply
    29,464.64x = 44,192.57 × 9,743.30
  4. Step 4: Simplify right side
    29,464.64x = 430,581,197.60
  5. Step 5: Solve for x
    x = 430,581,197.60/29,464.64
  6. Step 6: Final answer
    x = 14,613.49

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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.