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Finding the Fourth Proportional to 29,321.70, 43,982.64 and 7,135.08

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Solution

The fourth proportional to 29,321.70, 43,982.64 and 7,135.08 is: 10,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,321.70 : 43,982.64 = 7,135.08 : x
  2. Step 2: Convert to fraction form
    29,321.70/43,982.64 = 7,135.08/x
  3. Step 3: Cross multiply
    29,321.70x = 43,982.64 × 7,135.08
  4. Step 4: Simplify right side
    29,321.70x = 313,819,655.01
  5. Step 5: Solve for x
    x = 313,819,655.01/29,321.70
  6. Step 6: Final answer
    x = 10,702.64

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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.