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Finding the Fourth Proportional to 42,057.12, 58,039.04 and 23,194.24

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Solution

The fourth proportional to 42,057.12, 58,039.04 and 23,194.24 is: 32,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,057.12 : 58,039.04 = 23,194.24 : x
  2. Step 2: Convert to fraction form
    42,057.12/58,039.04 = 23,194.24/x
  3. Step 3: Cross multiply
    42,057.12x = 58,039.04 × 23,194.24
  4. Step 4: Simplify right side
    42,057.12x = 1,346,171,423.13
  5. Step 5: Solve for x
    x = 1,346,171,423.13/42,057.12
  6. Step 6: Final answer
    x = 32,008.17

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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.