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Finding the Fourth Proportional to 30,834.56, 42,525.12 and 24,864

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Solution

The fourth proportional to 30,834.56, 42,525.12 and 24,864 is: 34,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834.56 : 42,525.12 = 24,864 : x
  2. Step 2: Convert to fraction form
    30,834.56/42,525.12 = 24,864/x
  3. Step 3: Cross multiply
    30,834.56x = 42,525.12 × 24,864
  4. Step 4: Simplify right side
    30,834.56x = 1,057,344,583.68
  5. Step 5: Solve for x
    x = 1,057,344,583.68/30,834.56
  6. Step 6: Final answer
    x = 34,290.89

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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.