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Finding the Fourth Proportional to 29,270.25, 43,913.48 and 9,548.37

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Solution

The fourth proportional to 29,270.25, 43,913.48 and 9,548.37 is: 14,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,270.25 : 43,913.48 = 9,548.37 : x
  2. Step 2: Convert to fraction form
    29,270.25/43,913.48 = 9,548.37/x
  3. Step 3: Cross multiply
    29,270.25x = 43,913.48 × 9,548.37
  4. Step 4: Simplify right side
    29,270.25x = 419,302,107.29
  5. Step 5: Solve for x
    x = 419,302,107.29/29,270.25
  6. Step 6: Final answer
    x = 14,325.20

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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.