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Finding the Fourth Proportional to 28,021.38, 42,032.20 and 8,300.31

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Solution

The fourth proportional to 28,021.38, 42,032.20 and 8,300.31 is: 12,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,021.38 : 42,032.20 = 8,300.31 : x
  2. Step 2: Convert to fraction form
    28,021.38/42,032.20 = 8,300.31/x
  3. Step 3: Cross multiply
    28,021.38x = 42,032.20 × 8,300.31
  4. Step 4: Simplify right side
    28,021.38x = 348,880,289.98
  5. Step 5: Solve for x
    x = 348,880,289.98/28,021.38
  6. Step 6: Final answer
    x = 12,450.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.