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Finding the Fourth Proportional to 29,743.80, 44,623.08 and 8,967.28

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Solution

The fourth proportional to 29,743.80, 44,623.08 and 8,967.28 is: 13,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,743.80 : 44,623.08 = 8,967.28 : x
  2. Step 2: Convert to fraction form
    29,743.80/44,623.08 = 8,967.28/x
  3. Step 3: Cross multiply
    29,743.80x = 44,623.08 × 8,967.28
  4. Step 4: Simplify right side
    29,743.80x = 400,147,652.82
  5. Step 5: Solve for x
    x = 400,147,652.82/29,743.80
  6. Step 6: Final answer
    x = 13,453.14

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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.