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Finding the Fourth Proportional to 35,629.76, 49,168.42 and 19,714.21

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Solution

The fourth proportional to 35,629.76, 49,168.42 and 19,714.21 is: 27,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,629.76 : 49,168.42 = 19,714.21 : x
  2. Step 2: Convert to fraction form
    35,629.76/49,168.42 = 19,714.21/x
  3. Step 3: Cross multiply
    35,629.76x = 49,168.42 × 19,714.21
  4. Step 4: Simplify right side
    35,629.76x = 969,316,311.26
  5. Step 5: Solve for x
    x = 969,316,311.26/35,629.76
  6. Step 6: Final answer
    x = 27,205.25

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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.