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Finding the Fourth Proportional to 51,323.76, 76,966.20 and 20,142

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Solution

The fourth proportional to 51,323.76, 76,966.20 and 20,142 is: 30,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,323.76 : 76,966.20 = 20,142 : x
  2. Step 2: Convert to fraction form
    51,323.76/76,966.20 = 20,142/x
  3. Step 3: Cross multiply
    51,323.76x = 76,966.20 × 20,142
  4. Step 4: Simplify right side
    51,323.76x = 1,550,253,200.40
  5. Step 5: Solve for x
    x = 1,550,253,200.40/51,323.76
  6. Step 6: Final answer
    x = 30,205.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.