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Finding the Fourth Proportional to 42,419, 58,538.22 and 23,556.26

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Solution

The fourth proportional to 42,419, 58,538.22 and 23,556.26 is: 32,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,419 : 58,538.22 = 23,556.26 : x
  2. Step 2: Convert to fraction form
    42,419/58,538.22 = 23,556.26/x
  3. Step 3: Cross multiply
    42,419x = 58,538.22 × 23,556.26
  4. Step 4: Simplify right side
    42,419x = 1,378,941,530.26
  5. Step 5: Solve for x
    x = 1,378,941,530.26/42,419
  6. Step 6: Final answer
    x = 32,507.64

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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.