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Finding the Fourth Proportional to 33,671.16, 50,506.74 and 10,297.40

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Solution

The fourth proportional to 33,671.16, 50,506.74 and 10,297.40 is: 15,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,671.16 : 50,506.74 = 10,297.40 : x
  2. Step 2: Convert to fraction form
    33,671.16/50,506.74 = 10,297.40/x
  3. Step 3: Cross multiply
    33,671.16x = 50,506.74 × 10,297.40
  4. Step 4: Simplify right side
    33,671.16x = 520,087,851.94
  5. Step 5: Solve for x
    x = 520,087,851.94/33,671.16
  6. Step 6: Final answer
    x = 15,446.09

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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.