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Finding the Fourth Proportional to 48,384.43, 72,604.67 and 20,302

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Solution

The fourth proportional to 48,384.43, 72,604.67 and 20,302 is: 30,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,384.43 : 72,604.67 = 20,302 : x
  2. Step 2: Convert to fraction form
    48,384.43/72,604.67 = 20,302/x
  3. Step 3: Cross multiply
    48,384.43x = 72,604.67 × 20,302
  4. Step 4: Simplify right side
    48,384.43x = 1,474,020,010.34
  5. Step 5: Solve for x
    x = 1,474,020,010.34/48,384.43
  6. Step 6: Final answer
    x = 30,464.76

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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.