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Finding the Fourth Proportional to 51,969.80, 77,954.70 and 32,270.60

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Solution

The fourth proportional to 51,969.80, 77,954.70 and 32,270.60 is: 48,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,969.80 : 77,954.70 = 32,270.60 : x
  2. Step 2: Convert to fraction form
    51,969.80/77,954.70 = 32,270.60/x
  3. Step 3: Cross multiply
    51,969.80x = 77,954.70 × 32,270.60
  4. Step 4: Simplify right side
    51,969.80x = 2,515,644,941.82
  5. Step 5: Solve for x
    x = 2,515,644,941.82/51,969.80
  6. Step 6: Final answer
    x = 48,405.90

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Why These Related Problems?

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