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Finding the Fourth Proportional to 42,214.50, 58,257.09 and 25,448.58

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Solution

The fourth proportional to 42,214.50, 58,257.09 and 25,448.58 is: 35,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,214.50 : 58,257.09 = 25,448.58 : x
  2. Step 2: Convert to fraction form
    42,214.50/58,257.09 = 25,448.58/x
  3. Step 3: Cross multiply
    42,214.50x = 58,257.09 × 25,448.58
  4. Step 4: Simplify right side
    42,214.50x = 1,482,560,215.43
  5. Step 5: Solve for x
    x = 1,482,560,215.43/42,214.50
  6. Step 6: Final answer
    x = 35,119.69

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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.