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Finding the Fourth Proportional to 54,768.34, 82,092.25 and 21,482.20

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Solution

The fourth proportional to 54,768.34, 82,092.25 and 21,482.20 is: 32,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,768.34 : 82,092.25 = 21,482.20 : x
  2. Step 2: Convert to fraction form
    54,768.34/82,092.25 = 21,482.20/x
  3. Step 3: Cross multiply
    54,768.34x = 82,092.25 × 21,482.20
  4. Step 4: Simplify right side
    54,768.34x = 1,763,522,132.95
  5. Step 5: Solve for x
    x = 1,763,522,132.95/54,768.34
  6. Step 6: Final answer
    x = 32,199.66

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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.