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Finding the Fourth Proportional to 32,588.68, 44,932.96 and 27,544

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Solution

The fourth proportional to 32,588.68, 44,932.96 and 27,544 is: 37,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,588.68 : 44,932.96 = 27,544 : x
  2. Step 2: Convert to fraction form
    32,588.68/44,932.96 = 27,544/x
  3. Step 3: Cross multiply
    32,588.68x = 44,932.96 × 27,544
  4. Step 4: Simplify right side
    32,588.68x = 1,237,633,450.24
  5. Step 5: Solve for x
    x = 1,237,633,450.24/32,588.68
  6. Step 6: Final answer
    x = 37,977.40

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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.