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Finding the Fourth Proportional to 29,066, 43,599.42 and 8,289.50

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Solution

The fourth proportional to 29,066, 43,599.42 and 8,289.50 is: 12,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,066 : 43,599.42 = 8,289.50 : x
  2. Step 2: Convert to fraction form
    29,066/43,599.42 = 8,289.50/x
  3. Step 3: Cross multiply
    29,066x = 43,599.42 × 8,289.50
  4. Step 4: Simplify right side
    29,066x = 361,417,392.09
  5. Step 5: Solve for x
    x = 361,417,392.09/29,066
  6. Step 6: Final answer
    x = 12,434.37

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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.