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Finding the Fourth Proportional to 30,917.34, 42,658.79 and 20,864.43

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Solution

The fourth proportional to 30,917.34, 42,658.79 and 20,864.43 is: 28,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917.34 : 42,658.79 = 20,864.43 : x
  2. Step 2: Convert to fraction form
    30,917.34/42,658.79 = 20,864.43/x
  3. Step 3: Cross multiply
    30,917.34x = 42,658.79 × 20,864.43
  4. Step 4: Simplify right side
    30,917.34x = 890,051,233.52
  5. Step 5: Solve for x
    x = 890,051,233.52/30,917.34
  6. Step 6: Final answer
    x = 28,788.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.