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Finding the Fourth Proportional to 35,729.96, 49,307.26 and 19,814

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Solution

The fourth proportional to 35,729.96, 49,307.26 and 19,814 is: 27,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,729.96 : 49,307.26 = 19,814 : x
  2. Step 2: Convert to fraction form
    35,729.96/49,307.26 = 19,814/x
  3. Step 3: Cross multiply
    35,729.96x = 49,307.26 × 19,814
  4. Step 4: Simplify right side
    35,729.96x = 976,974,049.64
  5. Step 5: Solve for x
    x = 976,974,049.64/35,729.96
  6. Step 6: Final answer
    x = 27,343.27

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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.