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Finding the Fourth Proportional to 30,865.95, 42,556.30 and 25,194.94

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Solution

The fourth proportional to 30,865.95, 42,556.30 and 25,194.94 is: 34,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.95 : 42,556.30 = 25,194.94 : x
  2. Step 2: Convert to fraction form
    30,865.95/42,556.30 = 25,194.94/x
  3. Step 3: Cross multiply
    30,865.95x = 42,556.30 × 25,194.94
  4. Step 4: Simplify right side
    30,865.95x = 1,072,203,425.12
  5. Step 5: Solve for x
    x = 1,072,203,425.12/30,865.95
  6. Step 6: Final answer
    x = 34,737.42

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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.