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Finding the Fourth Proportional to 30,861.46, 46,284.90 and 14,211.10

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Solution

The fourth proportional to 30,861.46, 46,284.90 and 14,211.10 is: 21,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.46 : 46,284.90 = 14,211.10 : x
  2. Step 2: Convert to fraction form
    30,861.46/46,284.90 = 14,211.10/x
  3. Step 3: Cross multiply
    30,861.46x = 46,284.90 × 14,211.10
  4. Step 4: Simplify right side
    30,861.46x = 657,759,342.39
  5. Step 5: Solve for x
    x = 657,759,342.39/30,861.46
  6. Step 6: Final answer
    x = 21,313.29

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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.