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Finding the Fourth Proportional to 54,534.40, 81,785.40 and 21,235.30

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Solution

The fourth proportional to 54,534.40, 81,785.40 and 21,235.30 is: 31,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,534.40 : 81,785.40 = 21,235.30 : x
  2. Step 2: Convert to fraction form
    54,534.40/81,785.40 = 21,235.30/x
  3. Step 3: Cross multiply
    54,534.40x = 81,785.40 × 21,235.30
  4. Step 4: Simplify right side
    54,534.40x = 1,736,737,504.62
  5. Step 5: Solve for x
    x = 1,736,737,504.62/54,534.40
  6. Step 6: Final answer
    x = 31,846.64

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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.