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Finding the Fourth Proportional to 54,937.20, 82,405.80 and 13,384.20

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Solution

The fourth proportional to 54,937.20, 82,405.80 and 13,384.20 is: 20,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,937.20 : 82,405.80 = 13,384.20 : x
  2. Step 2: Convert to fraction form
    54,937.20/82,405.80 = 13,384.20/x
  3. Step 3: Cross multiply
    54,937.20x = 82,405.80 × 13,384.20
  4. Step 4: Simplify right side
    54,937.20x = 1,102,935,708.36
  5. Step 5: Solve for x
    x = 1,102,935,708.36/54,937.20
  6. Step 6: Final answer
    x = 20,076.30

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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.