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Finding the Fourth Proportional to 51,591.73, 71,211.80 and 33,689.53

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Solution

The fourth proportional to 51,591.73, 71,211.80 and 33,689.53 is: 46,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,591.73 : 71,211.80 = 33,689.53 : x
  2. Step 2: Convert to fraction form
    51,591.73/71,211.80 = 33,689.53/x
  3. Step 3: Cross multiply
    51,591.73x = 71,211.80 × 33,689.53
  4. Step 4: Simplify right side
    51,591.73x = 2,399,092,072.45
  5. Step 5: Solve for x
    x = 2,399,092,072.45/51,591.73
  6. Step 6: Final answer
    x = 46,501.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.