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Finding the Fourth Proportional to 30,944.32, 46,422.44 and 13,174.64

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Solution

The fourth proportional to 30,944.32, 46,422.44 and 13,174.64 is: 19,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944.32 : 46,422.44 = 13,174.64 : x
  2. Step 2: Convert to fraction form
    30,944.32/46,422.44 = 13,174.64/x
  3. Step 3: Cross multiply
    30,944.32x = 46,422.44 × 13,174.64
  4. Step 4: Simplify right side
    30,944.32x = 611,599,042.59
  5. Step 5: Solve for x
    x = 611,599,042.59/30,944.32
  6. Step 6: Final answer
    x = 19,764.50

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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.