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Finding the Fourth Proportional to 30,824.92, 42,527.01 and 20,228.95

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Solution

The fourth proportional to 30,824.92, 42,527.01 and 20,228.95 is: 27,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.92 : 42,527.01 = 20,228.95 : x
  2. Step 2: Convert to fraction form
    30,824.92/42,527.01 = 20,228.95/x
  3. Step 3: Cross multiply
    30,824.92x = 42,527.01 × 20,228.95
  4. Step 4: Simplify right side
    30,824.92x = 860,276,758.94
  5. Step 5: Solve for x
    x = 860,276,758.94/30,824.92
  6. Step 6: Final answer
    x = 27,908.48

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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.