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Finding the Fourth Proportional to 56,194.82, 84,264.34 and 20,654.70

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Solution

The fourth proportional to 56,194.82, 84,264.34 and 20,654.70 is: 30,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,194.82 : 84,264.34 = 20,654.70 : x
  2. Step 2: Convert to fraction form
    56,194.82/84,264.34 = 20,654.70/x
  3. Step 3: Cross multiply
    56,194.82x = 84,264.34 × 20,654.70
  4. Step 4: Simplify right side
    56,194.82x = 1,740,454,560.12
  5. Step 5: Solve for x
    x = 1,740,454,560.12/56,194.82
  6. Step 6: Final answer
    x = 30,971.80

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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.