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Finding the Fourth Proportional to 30,102.81, 41,540.70 and 16,674.63

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Solution

The fourth proportional to 30,102.81, 41,540.70 and 16,674.63 is: 23,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.81 : 41,540.70 = 16,674.63 : x
  2. Step 2: Convert to fraction form
    30,102.81/41,540.70 = 16,674.63/x
  3. Step 3: Cross multiply
    30,102.81x = 41,540.70 × 16,674.63
  4. Step 4: Simplify right side
    30,102.81x = 692,675,802.44
  5. Step 5: Solve for x
    x = 692,675,802.44/30,102.81
  6. Step 6: Final answer
    x = 23,010.34

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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.