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Finding the Fourth Proportional to 32,580.96, 44,934.90 and 27,387.24

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Solution

The fourth proportional to 32,580.96, 44,934.90 and 27,387.24 is: 37,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580.96 : 44,934.90 = 27,387.24 : x
  2. Step 2: Convert to fraction form
    32,580.96/44,934.90 = 27,387.24/x
  3. Step 3: Cross multiply
    32,580.96x = 44,934.90 × 27,387.24
  4. Step 4: Simplify right side
    32,580.96x = 1,230,642,890.68
  5. Step 5: Solve for x
    x = 1,230,642,890.68/32,580.96
  6. Step 6: Final answer
    x = 37,771.84

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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.