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Finding the Fourth Proportional to 51,590, 71,194.20 and 30,382.31

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Solution

The fourth proportional to 51,590, 71,194.20 and 30,382.31 is: 41,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,590 : 71,194.20 = 30,382.31 : x
  2. Step 2: Convert to fraction form
    51,590/71,194.20 = 30,382.31/x
  3. Step 3: Cross multiply
    51,590x = 71,194.20 × 30,382.31
  4. Step 4: Simplify right side
    51,590x = 2,163,044,254.60
  5. Step 5: Solve for x
    x = 2,163,044,254.60/51,590
  6. Step 6: Final answer
    x = 41,927.59

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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.