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Finding the Fourth Proportional to 30,826.89, 46,239.93 and 7,453.17

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Solution

The fourth proportional to 30,826.89, 46,239.93 and 7,453.17 is: 11,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826.89 : 46,239.93 = 7,453.17 : x
  2. Step 2: Convert to fraction form
    30,826.89/46,239.93 = 7,453.17/x
  3. Step 3: Cross multiply
    30,826.89x = 46,239.93 × 7,453.17
  4. Step 4: Simplify right side
    30,826.89x = 344,634,059.08
  5. Step 5: Solve for x
    x = 344,634,059.08/30,826.89
  6. Step 6: Final answer
    x = 11,179.66

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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.