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Finding the Fourth Proportional to 30,824.40, 46,204.92 and 13,279.44

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Solution

The fourth proportional to 30,824.40, 46,204.92 and 13,279.44 is: 19,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.40 : 46,204.92 = 13,279.44 : x
  2. Step 2: Convert to fraction form
    30,824.40/46,204.92 = 13,279.44/x
  3. Step 3: Cross multiply
    30,824.40x = 46,204.92 × 13,279.44
  4. Step 4: Simplify right side
    30,824.40x = 613,575,462.84
  5. Step 5: Solve for x
    x = 613,575,462.84/30,824.40
  6. Step 6: Final answer
    x = 19,905.51

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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.