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Finding the Fourth Proportional to 30,619.44, 42,254.93 and 17,881.38

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Solution

The fourth proportional to 30,619.44, 42,254.93 and 17,881.38 is: 24,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,619.44 : 42,254.93 = 17,881.38 : x
  2. Step 2: Convert to fraction form
    30,619.44/42,254.93 = 17,881.38/x
  3. Step 3: Cross multiply
    30,619.44x = 42,254.93 × 17,881.38
  4. Step 4: Simplify right side
    30,619.44x = 755,576,504.91
  5. Step 5: Solve for x
    x = 755,576,504.91/30,619.44
  6. Step 6: Final answer
    x = 24,676.37

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Why These Related Problems?

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