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Finding the Fourth Proportional to 30,307.96, 41,842.34 and 20,253.43

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Solution

The fourth proportional to 30,307.96, 41,842.34 and 20,253.43 is: 27,961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,307.96 : 41,842.34 = 20,253.43 : x
  2. Step 2: Convert to fraction form
    30,307.96/41,842.34 = 20,253.43/x
  3. Step 3: Cross multiply
    30,307.96x = 41,842.34 × 20,253.43
  4. Step 4: Simplify right side
    30,307.96x = 847,450,904.23
  5. Step 5: Solve for x
    x = 847,450,904.23/30,307.96
  6. Step 6: Final answer
    x = 27,961.33

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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.