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Finding the Fourth Proportional to 71,167.64, 106,749.04 and 33,745.64

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Solution

The fourth proportional to 71,167.64, 106,749.04 and 33,745.64 is: 50,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,167.64 : 106,749.04 = 33,745.64 : x
  2. Step 2: Convert to fraction form
    71,167.64/106,749.04 = 33,745.64/x
  3. Step 3: Cross multiply
    71,167.64x = 106,749.04 × 33,745.64
  4. Step 4: Simplify right side
    71,167.64x = 3,602,314,674.19
  5. Step 5: Solve for x
    x = 3,602,314,674.19/71,167.64
  6. Step 6: Final answer
    x = 50,617.31

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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.