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Finding the Fourth Proportional to 47,289.82, 70,945.11 and 14,012.49

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Solution

The fourth proportional to 47,289.82, 70,945.11 and 14,012.49 is: 21,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,289.82 : 70,945.11 = 14,012.49 : x
  2. Step 2: Convert to fraction form
    47,289.82/70,945.11 = 14,012.49/x
  3. Step 3: Cross multiply
    47,289.82x = 70,945.11 × 14,012.49
  4. Step 4: Simplify right side
    47,289.82x = 994,117,644.42
  5. Step 5: Solve for x
    x = 994,117,644.42/47,289.82
  6. Step 6: Final answer
    x = 21,021.81

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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.