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Finding the Fourth Proportional to 30,828.88, 42,546.12 and 17,401.33

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Solution

The fourth proportional to 30,828.88, 42,546.12 and 17,401.33 is: 24,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.88 : 42,546.12 = 17,401.33 : x
  2. Step 2: Convert to fraction form
    30,828.88/42,546.12 = 17,401.33/x
  3. Step 3: Cross multiply
    30,828.88x = 42,546.12 × 17,401.33
  4. Step 4: Simplify right side
    30,828.88x = 740,359,074.34
  5. Step 5: Solve for x
    x = 740,359,074.34/30,828.88
  6. Step 6: Final answer
    x = 24,015.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.