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Finding the Fourth Proportional to 29,768.64, 41,082.78 and 19,679.59

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Solution

The fourth proportional to 29,768.64, 41,082.78 and 19,679.59 is: 27,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,768.64 : 41,082.78 = 19,679.59 : x
  2. Step 2: Convert to fraction form
    29,768.64/41,082.78 = 19,679.59/x
  3. Step 3: Cross multiply
    29,768.64x = 41,082.78 × 19,679.59
  4. Step 4: Simplify right side
    29,768.64x = 808,492,266.46
  5. Step 5: Solve for x
    x = 808,492,266.46/29,768.64
  6. Step 6: Final answer
    x = 27,159.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.