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Finding the Fourth Proportional to 31,104, 46,663.32 and 10,327.56

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Solution

The fourth proportional to 31,104, 46,663.32 and 10,327.56 is: 15,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104 : 46,663.32 = 10,327.56 : x
  2. Step 2: Convert to fraction form
    31,104/46,663.32 = 10,327.56/x
  3. Step 3: Cross multiply
    31,104x = 46,663.32 × 10,327.56
  4. Step 4: Simplify right side
    31,104x = 481,918,237.10
  5. Step 5: Solve for x
    x = 481,918,237.10/31,104
  6. Step 6: Final answer
    x = 15,493.77

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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.