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Finding the Fourth Proportional to 30,861.96, 46,285.65 and 14,211.60

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Solution

The fourth proportional to 30,861.96, 46,285.65 and 14,211.60 is: 21,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.96 : 46,285.65 = 14,211.60 : x
  2. Step 2: Convert to fraction form
    30,861.96/46,285.65 = 14,211.60/x
  3. Step 3: Cross multiply
    30,861.96x = 46,285.65 × 14,211.60
  4. Step 4: Simplify right side
    30,861.96x = 657,793,143.54
  5. Step 5: Solve for x
    x = 657,793,143.54/30,861.96
  6. Step 6: Final answer
    x = 21,314.04

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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.