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Finding the Fourth Proportional to 33,714.02, 50,555.38 and 19,678.10

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Solution

The fourth proportional to 33,714.02, 50,555.38 and 19,678.10 is: 29,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,714.02 : 50,555.38 = 19,678.10 : x
  2. Step 2: Convert to fraction form
    33,714.02/50,555.38 = 19,678.10/x
  3. Step 3: Cross multiply
    33,714.02x = 50,555.38 × 19,678.10
  4. Step 4: Simplify right side
    33,714.02x = 994,833,823.18
  5. Step 5: Solve for x
    x = 994,833,823.18/33,714.02
  6. Step 6: Final answer
    x = 29,508.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.