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Finding the Fourth Proportional to 57,406.56, 79,223.40 and 32,256

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Solution

The fourth proportional to 57,406.56, 79,223.40 and 32,256 is: 44,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,406.56 : 79,223.40 = 32,256 : x
  2. Step 2: Convert to fraction form
    57,406.56/79,223.40 = 32,256/x
  3. Step 3: Cross multiply
    57,406.56x = 79,223.40 × 32,256
  4. Step 4: Simplify right side
    57,406.56x = 2,555,429,990.40
  5. Step 5: Solve for x
    x = 2,555,429,990.40/57,406.56
  6. Step 6: Final answer
    x = 44,514.60

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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.