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Finding the Fourth Proportional to 47,464.34, 71,197.20 and 12,404

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Solution

The fourth proportional to 47,464.34, 71,197.20 and 12,404 is: 18,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,464.34 : 71,197.20 = 12,404 : x
  2. Step 2: Convert to fraction form
    47,464.34/71,197.20 = 12,404/x
  3. Step 3: Cross multiply
    47,464.34x = 71,197.20 × 12,404
  4. Step 4: Simplify right side
    47,464.34x = 883,130,068.80
  5. Step 5: Solve for x
    x = 883,130,068.80/47,464.34
  6. Step 6: Final answer
    x = 18,606.18

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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.