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Finding the Fourth Proportional to 51,866.47, 71,584.47 and 30,059.50

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Solution

The fourth proportional to 51,866.47, 71,584.47 and 30,059.50 is: 41,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,866.47 : 71,584.47 = 30,059.50 : x
  2. Step 2: Convert to fraction form
    51,866.47/71,584.47 = 30,059.50/x
  3. Step 3: Cross multiply
    51,866.47x = 71,584.47 × 30,059.50
  4. Step 4: Simplify right side
    51,866.47x = 2,151,793,375.97
  5. Step 5: Solve for x
    x = 2,151,793,375.97/51,866.47
  6. Step 6: Final answer
    x = 41,487.18

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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.