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Finding the Fourth Proportional to 58,612.77, 80,885.50 and 31,756

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Solution

The fourth proportional to 58,612.77, 80,885.50 and 31,756 is: 43,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,612.77 : 80,885.50 = 31,756 : x
  2. Step 2: Convert to fraction form
    58,612.77/80,885.50 = 31,756/x
  3. Step 3: Cross multiply
    58,612.77x = 80,885.50 × 31,756
  4. Step 4: Simplify right side
    58,612.77x = 2,568,599,938
  5. Step 5: Solve for x
    x = 2,568,599,938/58,612.77
  6. Step 6: Final answer
    x = 43,823.21

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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.