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Finding the Fourth Proportional to 29,189.50, 43,780.15 and 9,468.23

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Solution

The fourth proportional to 29,189.50, 43,780.15 and 9,468.23 is: 14,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189.50 : 43,780.15 = 9,468.23 : x
  2. Step 2: Convert to fraction form
    29,189.50/43,780.15 = 9,468.23/x
  3. Step 3: Cross multiply
    29,189.50x = 43,780.15 × 9,468.23
  4. Step 4: Simplify right side
    29,189.50x = 414,520,529.63
  5. Step 5: Solve for x
    x = 414,520,529.63/29,189.50
  6. Step 6: Final answer
    x = 14,201.02

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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.