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Finding the Fourth Proportional to 30,900.16, 42,639.90 and 20,842.24

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Solution

The fourth proportional to 30,900.16, 42,639.90 and 20,842.24 is: 28,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.16 : 42,639.90 = 20,842.24 : x
  2. Step 2: Convert to fraction form
    30,900.16/42,639.90 = 20,842.24/x
  3. Step 3: Cross multiply
    30,900.16x = 42,639.90 × 20,842.24
  4. Step 4: Simplify right side
    30,900.16x = 888,711,029.38
  5. Step 5: Solve for x
    x = 888,711,029.38/30,900.16
  6. Step 6: Final answer
    x = 28,760.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.