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Finding the Fourth Proportional to 42,205, 58,244 and 25,439.08

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Solution

The fourth proportional to 42,205, 58,244 and 25,439.08 is: 35,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,205 : 58,244 = 25,439.08 : x
  2. Step 2: Convert to fraction form
    42,205/58,244 = 25,439.08/x
  3. Step 3: Cross multiply
    42,205x = 58,244 × 25,439.08
  4. Step 4: Simplify right side
    42,205x = 1,481,673,775.52
  5. Step 5: Solve for x
    x = 1,481,673,775.52/42,205
  6. Step 6: Final answer
    x = 35,106.59

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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.