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Finding the Fourth Proportional to 30,902.76, 42,645.83 and 16,755.57

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Solution

The fourth proportional to 30,902.76, 42,645.83 and 16,755.57 is: 23,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.76 : 42,645.83 = 16,755.57 : x
  2. Step 2: Convert to fraction form
    30,902.76/42,645.83 = 16,755.57/x
  3. Step 3: Cross multiply
    30,902.76x = 42,645.83 × 16,755.57
  4. Step 4: Simplify right side
    30,902.76x = 714,555,106.00
  5. Step 5: Solve for x
    x = 714,555,106.00/30,902.76
  6. Step 6: Final answer
    x = 23,122.70

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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.