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Finding the Fourth Proportional to 56,549.96, 84,824.22 and 13,855.82

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Solution

The fourth proportional to 56,549.96, 84,824.22 and 13,855.82 is: 20,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,549.96 : 84,824.22 = 13,855.82 : x
  2. Step 2: Convert to fraction form
    56,549.96/84,824.22 = 13,855.82/x
  3. Step 3: Cross multiply
    56,549.96x = 84,824.22 × 13,855.82
  4. Step 4: Simplify right side
    56,549.96x = 1,175,309,123.96
  5. Step 5: Solve for x
    x = 1,175,309,123.96/56,549.96
  6. Step 6: Final answer
    x = 20,783.55

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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.