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Finding the Fourth Proportional to 30,874.90, 46,311.94 and 7,501.27

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Solution

The fourth proportional to 30,874.90, 46,311.94 and 7,501.27 is: 11,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.90 : 46,311.94 = 7,501.27 : x
  2. Step 2: Convert to fraction form
    30,874.90/46,311.94 = 7,501.27/x
  3. Step 3: Cross multiply
    30,874.90x = 46,311.94 × 7,501.27
  4. Step 4: Simplify right side
    30,874.90x = 347,398,366.16
  5. Step 5: Solve for x
    x = 347,398,366.16/30,874.90
  6. Step 6: Final answer
    x = 11,251.81

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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.