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Finding the Fourth Proportional to 58,334, 80,500.92 and 31,838

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Solution

The fourth proportional to 58,334, 80,500.92 and 31,838 is: 43,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,334 : 80,500.92 = 31,838 : x
  2. Step 2: Convert to fraction form
    58,334/80,500.92 = 31,838/x
  3. Step 3: Cross multiply
    58,334x = 80,500.92 × 31,838
  4. Step 4: Simplify right side
    58,334x = 2,562,988,290.96
  5. Step 5: Solve for x
    x = 2,562,988,290.96/58,334
  6. Step 6: Final answer
    x = 43,936.44

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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.