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Finding the Fourth Proportional to 30,960.54, 42,738.62 and 20,902.60

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Solution

The fourth proportional to 30,960.54, 42,738.62 and 20,902.60 is: 28,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,960.54 : 42,738.62 = 20,902.60 : x
  2. Step 2: Convert to fraction form
    30,960.54/42,738.62 = 20,902.60/x
  3. Step 3: Cross multiply
    30,960.54x = 42,738.62 × 20,902.60
  4. Step 4: Simplify right side
    30,960.54x = 893,347,960.21
  5. Step 5: Solve for x
    x = 893,347,960.21/30,960.54
  6. Step 6: Final answer
    x = 28,854.41

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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.