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Finding the Fourth Proportional to 42,057.64, 58,039.56 and 23,195.98

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Solution

The fourth proportional to 42,057.64, 58,039.56 and 23,195.98 is: 32,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,057.64 : 58,039.56 = 23,195.98 : x
  2. Step 2: Convert to fraction form
    42,057.64/58,039.56 = 23,195.98/x
  3. Step 3: Cross multiply
    42,057.64x = 58,039.56 × 23,195.98
  4. Step 4: Simplify right side
    42,057.64x = 1,346,284,472.97
  5. Step 5: Solve for x
    x = 1,346,284,472.97/42,057.64
  6. Step 6: Final answer
    x = 32,010.46

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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.