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Finding the Fourth Proportional to 29,190, 43,773.66 and 9,463.80

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Solution

The fourth proportional to 29,190, 43,773.66 and 9,463.80 is: 14,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,190 : 43,773.66 = 9,463.80 : x
  2. Step 2: Convert to fraction form
    29,190/43,773.66 = 9,463.80/x
  3. Step 3: Cross multiply
    29,190x = 43,773.66 × 9,463.80
  4. Step 4: Simplify right side
    29,190x = 414,265,163.51
  5. Step 5: Solve for x
    x = 414,265,163.51/29,190
  6. Step 6: Final answer
    x = 14,192.02

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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.