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Finding the Fourth Proportional to 38,082.64, 57,133.82 and 22,301.01

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Solution

The fourth proportional to 38,082.64, 57,133.82 and 22,301.01 is: 33,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082.64 : 57,133.82 = 22,301.01 : x
  2. Step 2: Convert to fraction form
    38,082.64/57,133.82 = 22,301.01/x
  3. Step 3: Cross multiply
    38,082.64x = 57,133.82 × 22,301.01
  4. Step 4: Simplify right side
    38,082.64x = 1,274,141,891.16
  5. Step 5: Solve for x
    x = 1,274,141,891.16/38,082.64
  6. Step 6: Final answer
    x = 33,457.29

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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.