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Finding the Fourth Proportional to 30,823.92, 42,525.63 and 20,227.95

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Solution

The fourth proportional to 30,823.92, 42,525.63 and 20,227.95 is: 27,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.92 : 42,525.63 = 20,227.95 : x
  2. Step 2: Convert to fraction form
    30,823.92/42,525.63 = 20,227.95/x
  3. Step 3: Cross multiply
    30,823.92x = 42,525.63 × 20,227.95
  4. Step 4: Simplify right side
    30,823.92x = 860,206,317.36
  5. Step 5: Solve for x
    x = 860,206,317.36/30,823.92
  6. Step 6: Final answer
    x = 27,907.10

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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.