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Finding the Fourth Proportional to 42,059.14, 58,041.63 and 23,197.48

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Solution

The fourth proportional to 42,059.14, 58,041.63 and 23,197.48 is: 32,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,059.14 : 58,041.63 = 23,197.48 : x
  2. Step 2: Convert to fraction form
    42,059.14/58,041.63 = 23,197.48/x
  3. Step 3: Cross multiply
    42,059.14x = 58,041.63 × 23,197.48
  4. Step 4: Simplify right side
    42,059.14x = 1,346,419,551.09
  5. Step 5: Solve for x
    x = 1,346,419,551.09/42,059.14
  6. Step 6: Final answer
    x = 32,012.53

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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.