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Finding the Fourth Proportional to 38,082.80, 57,134.06 and 22,301.16

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Solution

The fourth proportional to 38,082.80, 57,134.06 and 22,301.16 is: 33,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082.80 : 57,134.06 = 22,301.16 : x
  2. Step 2: Convert to fraction form
    38,082.80/57,134.06 = 22,301.16/x
  3. Step 3: Cross multiply
    38,082.80x = 57,134.06 × 22,301.16
  4. Step 4: Simplify right side
    38,082.80x = 1,274,155,813.51
  5. Step 5: Solve for x
    x = 1,274,155,813.51/38,082.80
  6. Step 6: Final answer
    x = 33,457.51

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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.