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Finding the Fourth Proportional to 47,509.80, 71,244.65 and 14,234.59

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Solution

The fourth proportional to 47,509.80, 71,244.65 and 14,234.59 is: 21,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,509.80 : 71,244.65 = 14,234.59 : x
  2. Step 2: Convert to fraction form
    47,509.80/71,244.65 = 14,234.59/x
  3. Step 3: Cross multiply
    47,509.80x = 71,244.65 × 14,234.59
  4. Step 4: Simplify right side
    47,509.80x = 1,014,138,311.27
  5. Step 5: Solve for x
    x = 1,014,138,311.27/47,509.80
  6. Step 6: Final answer
    x = 21,345.88

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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.