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Finding the Fourth Proportional to 47,509.56, 71,244.27 and 14,234.34

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Solution

The fourth proportional to 47,509.56, 71,244.27 and 14,234.34 is: 21,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,509.56 : 71,244.27 = 14,234.34 : x
  2. Step 2: Convert to fraction form
    47,509.56/71,244.27 = 14,234.34/x
  3. Step 3: Cross multiply
    47,509.56x = 71,244.27 × 14,234.34
  4. Step 4: Simplify right side
    47,509.56x = 1,014,115,162.23
  5. Step 5: Solve for x
    x = 1,014,115,162.23/47,509.56
  6. Step 6: Final answer
    x = 21,345.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.