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Finding the Fourth Proportional to 30,825.70, 42,528.09 and 20,221.18

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Solution

The fourth proportional to 30,825.70, 42,528.09 and 20,221.18 is: 27,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.70 : 42,528.09 = 20,221.18 : x
  2. Step 2: Convert to fraction form
    30,825.70/42,528.09 = 20,221.18/x
  3. Step 3: Cross multiply
    30,825.70x = 42,528.09 × 20,221.18
  4. Step 4: Simplify right side
    30,825.70x = 859,968,162.95
  5. Step 5: Solve for x
    x = 859,968,162.95/30,825.70
  6. Step 6: Final answer
    x = 27,897.77

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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.