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Finding the Fourth Proportional to 30,590.41, 42,226.77 and 21,684.46

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Solution

The fourth proportional to 30,590.41, 42,226.77 and 21,684.46 is: 29,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.41 : 42,226.77 = 21,684.46 : x
  2. Step 2: Convert to fraction form
    30,590.41/42,226.77 = 21,684.46/x
  3. Step 3: Cross multiply
    30,590.41x = 42,226.77 × 21,684.46
  4. Step 4: Simplify right side
    30,590.41x = 915,664,704.99
  5. Step 5: Solve for x
    x = 915,664,704.99/30,590.41
  6. Step 6: Final answer
    x = 29,933.06

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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.