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Finding the Fourth Proportional to 30,871.58, 42,600.25 and 17,444

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Solution

The fourth proportional to 30,871.58, 42,600.25 and 17,444 is: 24,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.58 : 42,600.25 = 17,444 : x
  2. Step 2: Convert to fraction form
    30,871.58/42,600.25 = 17,444/x
  3. Step 3: Cross multiply
    30,871.58x = 42,600.25 × 17,444
  4. Step 4: Simplify right side
    30,871.58x = 743,118,761
  5. Step 5: Solve for x
    x = 743,118,761/30,871.58
  6. Step 6: Final answer
    x = 24,071.29

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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.