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Finding the Fourth Proportional to 47,466.34, 71,200.20 and 12,406

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Solution

The fourth proportional to 47,466.34, 71,200.20 and 12,406 is: 18,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,466.34 : 71,200.20 = 12,406 : x
  2. Step 2: Convert to fraction form
    47,466.34/71,200.20 = 12,406/x
  3. Step 3: Cross multiply
    47,466.34x = 71,200.20 × 12,406
  4. Step 4: Simplify right side
    47,466.34x = 883,309,681.20
  5. Step 5: Solve for x
    x = 883,309,681.20/47,466.34
  6. Step 6: Final answer
    x = 18,609.18

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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.