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Finding the Fourth Proportional to 29,541.90, 44,296.22 and 9,809.88

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Solution

The fourth proportional to 29,541.90, 44,296.22 and 9,809.88 is: 14,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,541.90 : 44,296.22 = 9,809.88 : x
  2. Step 2: Convert to fraction form
    29,541.90/44,296.22 = 9,809.88/x
  3. Step 3: Cross multiply
    29,541.90x = 44,296.22 × 9,809.88
  4. Step 4: Simplify right side
    29,541.90x = 434,540,602.65
  5. Step 5: Solve for x
    x = 434,540,602.65/29,541.90
  6. Step 6: Final answer
    x = 14,709.30

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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.