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Finding the Fourth Proportional to 34,026.24, 51,028.02 and 14,301.12

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Solution

The fourth proportional to 34,026.24, 51,028.02 and 14,301.12 is: 21,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,026.24 : 51,028.02 = 14,301.12 : x
  2. Step 2: Convert to fraction form
    34,026.24/51,028.02 = 14,301.12/x
  3. Step 3: Cross multiply
    34,026.24x = 51,028.02 × 14,301.12
  4. Step 4: Simplify right side
    34,026.24x = 729,757,837.38
  5. Step 5: Solve for x
    x = 729,757,837.38/34,026.24
  6. Step 6: Final answer
    x = 21,446.91

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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.