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Finding the Fourth Proportional to 30,676.72, 46,028.14 and 15,896.06

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Solution

The fourth proportional to 30,676.72, 46,028.14 and 15,896.06 is: 23,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.72 : 46,028.14 = 15,896.06 : x
  2. Step 2: Convert to fraction form
    30,676.72/46,028.14 = 15,896.06/x
  3. Step 3: Cross multiply
    30,676.72x = 46,028.14 × 15,896.06
  4. Step 4: Simplify right side
    30,676.72x = 731,666,075.13
  5. Step 5: Solve for x
    x = 731,666,075.13/30,676.72
  6. Step 6: Final answer
    x = 23,850.86

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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.