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Finding the Fourth Proportional to 73,283.46, 109,927.38 and 20,687.46

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Solution

The fourth proportional to 73,283.46, 109,927.38 and 20,687.46 is: 31,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,283.46 : 109,927.38 = 20,687.46 : x
  2. Step 2: Convert to fraction form
    73,283.46/109,927.38 = 20,687.46/x
  3. Step 3: Cross multiply
    73,283.46x = 109,927.38 × 20,687.46
  4. Step 4: Simplify right side
    73,283.46x = 2,274,118,276.65
  5. Step 5: Solve for x
    x = 2,274,118,276.65/73,283.46
  6. Step 6: Final answer
    x = 31,031.81

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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.