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Finding the Fourth Proportional to 30,861.42, 46,254.92 and 14,198.64

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Solution

The fourth proportional to 30,861.42, 46,254.92 and 14,198.64 is: 21,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.42 : 46,254.92 = 14,198.64 : x
  2. Step 2: Convert to fraction form
    30,861.42/46,254.92 = 14,198.64/x
  3. Step 3: Cross multiply
    30,861.42x = 46,254.92 × 14,198.64
  4. Step 4: Simplify right side
    30,861.42x = 656,756,886.32
  5. Step 5: Solve for x
    x = 656,756,886.32/30,861.42
  6. Step 6: Final answer
    x = 21,280.84

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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.