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Finding the Fourth Proportional to 58,370, 80,552.52 and 31,874

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Solution

The fourth proportional to 58,370, 80,552.52 and 31,874 is: 43,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,370 : 80,552.52 = 31,874 : x
  2. Step 2: Convert to fraction form
    58,370/80,552.52 = 31,874/x
  3. Step 3: Cross multiply
    58,370x = 80,552.52 × 31,874
  4. Step 4: Simplify right side
    58,370x = 2,567,531,022.48
  5. Step 5: Solve for x
    x = 2,567,531,022.48/58,370
  6. Step 6: Final answer
    x = 43,987.17

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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.