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Finding the Fourth Proportional to 54,701.70, 82,052.55 and 19,644.90

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Solution

The fourth proportional to 54,701.70, 82,052.55 and 19,644.90 is: 29,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,701.70 : 82,052.55 = 19,644.90 : x
  2. Step 2: Convert to fraction form
    54,701.70/82,052.55 = 19,644.90/x
  3. Step 3: Cross multiply
    54,701.70x = 82,052.55 × 19,644.90
  4. Step 4: Simplify right side
    54,701.70x = 1,611,914,139.50
  5. Step 5: Solve for x
    x = 1,611,914,139.50/54,701.70
  6. Step 6: Final answer
    x = 29,467.35

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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.