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Finding the Fourth Proportional to 30,796.57, 42,510.77 and 23,977.09

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Solution

The fourth proportional to 30,796.57, 42,510.77 and 23,977.09 is: 33,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.57 : 42,510.77 = 23,977.09 : x
  2. Step 2: Convert to fraction form
    30,796.57/42,510.77 = 23,977.09/x
  3. Step 3: Cross multiply
    30,796.57x = 42,510.77 × 23,977.09
  4. Step 4: Simplify right side
    30,796.57x = 1,019,284,558.26
  5. Step 5: Solve for x
    x = 1,019,284,558.26/30,796.57
  6. Step 6: Final answer
    x = 33,097.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.