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Finding the Fourth Proportional to 29,835.94, 44,749.04 and 9,059.44

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Solution

The fourth proportional to 29,835.94, 44,749.04 and 9,059.44 is: 13,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.94 : 44,749.04 = 9,059.44 : x
  2. Step 2: Convert to fraction form
    29,835.94/44,749.04 = 9,059.44/x
  3. Step 3: Cross multiply
    29,835.94x = 44,749.04 × 9,059.44
  4. Step 4: Simplify right side
    29,835.94x = 405,401,242.94
  5. Step 5: Solve for x
    x = 405,401,242.94/29,835.94
  6. Step 6: Final answer
    x = 13,587.68

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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.