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Finding the Fourth Proportional to 55,247.46, 82,871.14 and 13,694.46

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Solution

The fourth proportional to 55,247.46, 82,871.14 and 13,694.46 is: 20,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,247.46 : 82,871.14 = 13,694.46 : x
  2. Step 2: Convert to fraction form
    55,247.46/82,871.14 = 13,694.46/x
  3. Step 3: Cross multiply
    55,247.46x = 82,871.14 × 13,694.46
  4. Step 4: Simplify right side
    55,247.46x = 1,134,875,511.88
  5. Step 5: Solve for x
    x = 1,134,875,511.88/55,247.46
  6. Step 6: Final answer
    x = 20,541.68

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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.