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Finding the Fourth Proportional to 30,797.56, 42,518.94 and 20,205.68

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Solution

The fourth proportional to 30,797.56, 42,518.94 and 20,205.68 is: 27,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.56 : 42,518.94 = 20,205.68 : x
  2. Step 2: Convert to fraction form
    30,797.56/42,518.94 = 20,205.68/x
  3. Step 3: Cross multiply
    30,797.56x = 42,518.94 × 20,205.68
  4. Step 4: Simplify right side
    30,797.56x = 859,124,095.58
  5. Step 5: Solve for x
    x = 859,124,095.58/30,797.56
  6. Step 6: Final answer
    x = 27,895.85

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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.