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Finding the Fourth Proportional to 42,200.70, 58,221.60 and 25,842.30

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Solution

The fourth proportional to 42,200.70, 58,221.60 and 25,842.30 is: 35,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,200.70 : 58,221.60 = 25,842.30 : x
  2. Step 2: Convert to fraction form
    42,200.70/58,221.60 = 25,842.30/x
  3. Step 3: Cross multiply
    42,200.70x = 58,221.60 × 25,842.30
  4. Step 4: Simplify right side
    42,200.70x = 1,504,580,053.68
  5. Step 5: Solve for x
    x = 1,504,580,053.68/42,200.70
  6. Step 6: Final answer
    x = 35,652.96

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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.