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Finding the Fourth Proportional to 32,949, 49,299.50 and 23,107.48

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Solution

The fourth proportional to 32,949, 49,299.50 and 23,107.48 is: 34,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,949 : 49,299.50 = 23,107.48 : x
  2. Step 2: Convert to fraction form
    32,949/49,299.50 = 23,107.48/x
  3. Step 3: Cross multiply
    32,949x = 49,299.50 × 23,107.48
  4. Step 4: Simplify right side
    32,949x = 1,139,187,210.26
  5. Step 5: Solve for x
    x = 1,139,187,210.26/32,949
  6. Step 6: Final answer
    x = 34,574.26

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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.