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Finding the Fourth Proportional to 30,902.72, 42,645.86 and 16,755.58

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Solution

The fourth proportional to 30,902.72, 42,645.86 and 16,755.58 is: 23,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.72 : 42,645.86 = 16,755.58 : x
  2. Step 2: Convert to fraction form
    30,902.72/42,645.86 = 16,755.58/x
  3. Step 3: Cross multiply
    30,902.72x = 42,645.86 × 16,755.58
  4. Step 4: Simplify right side
    30,902.72x = 714,556,118.90
  5. Step 5: Solve for x
    x = 714,556,118.90/30,902.72
  6. Step 6: Final answer
    x = 23,122.76

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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.