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Finding the Fourth Proportional to 32,932.09, 49,389.33 and 9,238.23

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Solution

The fourth proportional to 32,932.09, 49,389.33 and 9,238.23 is: 13,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,932.09 : 49,389.33 = 9,238.23 : x
  2. Step 2: Convert to fraction form
    32,932.09/49,389.33 = 9,238.23/x
  3. Step 3: Cross multiply
    32,932.09x = 49,389.33 × 9,238.23
  4. Step 4: Simplify right side
    32,932.09x = 456,269,804.88
  5. Step 5: Solve for x
    x = 456,269,804.88/32,932.09
  6. Step 6: Final answer
    x = 13,854.87

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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.