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Finding the Fourth Proportional to 29,190, 43,791.90 and 9,468.51

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Solution

The fourth proportional to 29,190, 43,791.90 and 9,468.51 is: 14,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,190 : 43,791.90 = 9,468.51 : x
  2. Step 2: Convert to fraction form
    29,190/43,791.90 = 9,468.51/x
  3. Step 3: Cross multiply
    29,190x = 43,791.90 × 9,468.51
  4. Step 4: Simplify right side
    29,190x = 414,644,043.07
  5. Step 5: Solve for x
    x = 414,644,043.07/29,190
  6. Step 6: Final answer
    x = 14,205.00

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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.