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Finding the Fourth Proportional to 51,356.30, 77,034.45 and 23,708.30

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Solution

The fourth proportional to 51,356.30, 77,034.45 and 23,708.30 is: 35,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,356.30 : 77,034.45 = 23,708.30 : x
  2. Step 2: Convert to fraction form
    51,356.30/77,034.45 = 23,708.30/x
  3. Step 3: Cross multiply
    51,356.30x = 77,034.45 × 23,708.30
  4. Step 4: Simplify right side
    51,356.30x = 1,826,355,850.94
  5. Step 5: Solve for x
    x = 1,826,355,850.94/51,356.30
  6. Step 6: Final answer
    x = 35,562.45

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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.