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Finding the Fourth Proportional to 54,461.70, 81,704.70 and 21,178.80

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Solution

The fourth proportional to 54,461.70, 81,704.70 and 21,178.80 is: 31,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,461.70 : 81,704.70 = 21,178.80 : x
  2. Step 2: Convert to fraction form
    54,461.70/81,704.70 = 21,178.80/x
  3. Step 3: Cross multiply
    54,461.70x = 81,704.70 × 21,178.80
  4. Step 4: Simplify right side
    54,461.70x = 1,730,407,500.36
  5. Step 5: Solve for x
    x = 1,730,407,500.36/54,461.70
  6. Step 6: Final answer
    x = 31,772.92

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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.