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Finding the Fourth Proportional to 38,051.16, 57,082.20 and 11,758.20

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Solution

The fourth proportional to 38,051.16, 57,082.20 and 11,758.20 is: 17,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,051.16 : 57,082.20 = 11,758.20 : x
  2. Step 2: Convert to fraction form
    38,051.16/57,082.20 = 11,758.20/x
  3. Step 3: Cross multiply
    38,051.16x = 57,082.20 × 11,758.20
  4. Step 4: Simplify right side
    38,051.16x = 671,183,924.04
  5. Step 5: Solve for x
    x = 671,183,924.04/38,051.16
  6. Step 6: Final answer
    x = 17,638.99

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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.