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Finding the Fourth Proportional to 32,983.20, 49,474.80 and 8,359.20

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Solution

The fourth proportional to 32,983.20, 49,474.80 and 8,359.20 is: 12,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983.20 : 49,474.80 = 8,359.20 : x
  2. Step 2: Convert to fraction form
    32,983.20/49,474.80 = 8,359.20/x
  3. Step 3: Cross multiply
    32,983.20x = 49,474.80 × 8,359.20
  4. Step 4: Simplify right side
    32,983.20x = 413,569,748.16
  5. Step 5: Solve for x
    x = 413,569,748.16/32,983.20
  6. Step 6: Final answer
    x = 12,538.80

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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.