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Finding the Fourth Proportional to 51,495.25, 77,243.34 and 20,330.50

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Solution

The fourth proportional to 51,495.25, 77,243.34 and 20,330.50 is: 30,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,495.25 : 77,243.34 = 20,330.50 : x
  2. Step 2: Convert to fraction form
    51,495.25/77,243.34 = 20,330.50/x
  3. Step 3: Cross multiply
    51,495.25x = 77,243.34 × 20,330.50
  4. Step 4: Simplify right side
    51,495.25x = 1,570,395,723.87
  5. Step 5: Solve for x
    x = 1,570,395,723.87/51,495.25
  6. Step 6: Final answer
    x = 30,495.93

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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.