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Finding the Fourth Proportional to 51,946.67, 77,969.21 and 27,004.62

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Solution

The fourth proportional to 51,946.67, 77,969.21 and 27,004.62 is: 40,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,946.67 : 77,969.21 = 27,004.62 : x
  2. Step 2: Convert to fraction form
    51,946.67/77,969.21 = 27,004.62/x
  3. Step 3: Cross multiply
    51,946.67x = 77,969.21 × 27,004.62
  4. Step 4: Simplify right side
    51,946.67x = 2,105,528,887.75
  5. Step 5: Solve for x
    x = 2,105,528,887.75/51,946.67
  6. Step 6: Final answer
    x = 40,532.51

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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.