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Finding the Fourth Proportional to 38,297.20, 57,143.18 and 33,113.20

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Solution

The fourth proportional to 38,297.20, 57,143.18 and 33,113.20 is: 49,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,297.20 : 57,143.18 = 33,113.20 : x
  2. Step 2: Convert to fraction form
    38,297.20/57,143.18 = 33,113.20/x
  3. Step 3: Cross multiply
    38,297.20x = 57,143.18 × 33,113.20
  4. Step 4: Simplify right side
    38,297.20x = 1,892,193,547.98
  5. Step 5: Solve for x
    x = 1,892,193,547.98/38,297.20
  6. Step 6: Final answer
    x = 49,408.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.