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Finding the Fourth Proportional to 47,412, 71,131.23 and 14,133.15

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Solution

The fourth proportional to 47,412, 71,131.23 and 14,133.15 is: 21,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,412 : 71,131.23 = 14,133.15 : x
  2. Step 2: Convert to fraction form
    47,412/71,131.23 = 14,133.15/x
  3. Step 3: Cross multiply
    47,412x = 71,131.23 × 14,133.15
  4. Step 4: Simplify right side
    47,412x = 1,005,308,343.27
  5. Step 5: Solve for x
    x = 1,005,308,343.27/47,412
  6. Step 6: Final answer
    x = 21,203.67

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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.