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Finding the Fourth Proportional to 47,462.40, 71,188.20 and 12,405.60

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Solution

The fourth proportional to 47,462.40, 71,188.20 and 12,405.60 is: 18,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,462.40 : 71,188.20 = 12,405.60 : x
  2. Step 2: Convert to fraction form
    47,462.40/71,188.20 = 12,405.60/x
  3. Step 3: Cross multiply
    47,462.40x = 71,188.20 × 12,405.60
  4. Step 4: Simplify right side
    47,462.40x = 883,132,333.92
  5. Step 5: Solve for x
    x = 883,132,333.92/47,462.40
  6. Step 6: Final answer
    x = 18,606.99

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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.