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Finding the Fourth Proportional to 30,817.34, 46,226.00 and 7,443.77

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Solution

The fourth proportional to 30,817.34, 46,226.00 and 7,443.77 is: 11,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817.34 : 46,226.00 = 7,443.77 : x
  2. Step 2: Convert to fraction form
    30,817.34/46,226.00 = 7,443.77/x
  3. Step 3: Cross multiply
    30,817.34x = 46,226.00 × 7,443.77
  4. Step 4: Simplify right side
    30,817.34x = 344,095,900.00
  5. Step 5: Solve for x
    x = 344,095,900.00/30,817.34
  6. Step 6: Final answer
    x = 11,165.66

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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.