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Finding the Fourth Proportional to 58,539.50, 80,784.49 and 31,682

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Solution

The fourth proportional to 58,539.50, 80,784.49 and 31,682 is: 43,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,539.50 : 80,784.49 = 31,682 : x
  2. Step 2: Convert to fraction form
    58,539.50/80,784.49 = 31,682/x
  3. Step 3: Cross multiply
    58,539.50x = 80,784.49 × 31,682
  4. Step 4: Simplify right side
    58,539.50x = 2,559,414,212.18
  5. Step 5: Solve for x
    x = 2,559,414,212.18/58,539.50
  6. Step 6: Final answer
    x = 43,721.15

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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.