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Finding the Fourth Proportional to 42,084.50, 58,077.42 and 23,221.22

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Solution

The fourth proportional to 42,084.50, 58,077.42 and 23,221.22 is: 32,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,084.50 : 58,077.42 = 23,221.22 : x
  2. Step 2: Convert to fraction form
    42,084.50/58,077.42 = 23,221.22/x
  3. Step 3: Cross multiply
    42,084.50x = 58,077.42 × 23,221.22
  4. Step 4: Simplify right side
    42,084.50x = 1,348,628,546.85
  5. Step 5: Solve for x
    x = 1,348,628,546.85/42,084.50
  6. Step 6: Final answer
    x = 32,045.73

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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.