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Finding the Fourth Proportional to 55,218.96, 82,774.44 and 21,927.96

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Solution

The fourth proportional to 55,218.96, 82,774.44 and 21,927.96 is: 32,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,218.96 : 82,774.44 = 21,927.96 : x
  2. Step 2: Convert to fraction form
    55,218.96/82,774.44 = 21,927.96/x
  3. Step 3: Cross multiply
    55,218.96x = 82,774.44 × 21,927.96
  4. Step 4: Simplify right side
    55,218.96x = 1,815,074,609.34
  5. Step 5: Solve for x
    x = 1,815,074,609.34/55,218.96
  6. Step 6: Final answer
    x = 32,870.50

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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.