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Finding the Fourth Proportional to 30,861.46, 46,292.46 and 7,487.92

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Solution

The fourth proportional to 30,861.46, 46,292.46 and 7,487.92 is: 11,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.46 : 46,292.46 = 7,487.92 : x
  2. Step 2: Convert to fraction form
    30,861.46/46,292.46 = 7,487.92/x
  3. Step 3: Cross multiply
    30,861.46x = 46,292.46 × 7,487.92
  4. Step 4: Simplify right side
    30,861.46x = 346,634,237.08
  5. Step 5: Solve for x
    x = 346,634,237.08/30,861.46
  6. Step 6: Final answer
    x = 11,231.95

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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.