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Finding the Fourth Proportional to 29,748.26, 41,059.85 and 20,204.10

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Solution

The fourth proportional to 29,748.26, 41,059.85 and 20,204.10 is: 27,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,748.26 : 41,059.85 = 20,204.10 : x
  2. Step 2: Convert to fraction form
    29,748.26/41,059.85 = 20,204.10/x
  3. Step 3: Cross multiply
    29,748.26x = 41,059.85 × 20,204.10
  4. Step 4: Simplify right side
    29,748.26x = 829,577,214.36
  5. Step 5: Solve for x
    x = 829,577,214.36/29,748.26
  6. Step 6: Final answer
    x = 27,886.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.