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Finding the Fourth Proportional to 57,506.56, 79,358.24 and 32,356

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Solution

The fourth proportional to 57,506.56, 79,358.24 and 32,356 is: 44,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,506.56 : 79,358.24 = 32,356 : x
  2. Step 2: Convert to fraction form
    57,506.56/79,358.24 = 32,356/x
  3. Step 3: Cross multiply
    57,506.56x = 79,358.24 × 32,356
  4. Step 4: Simplify right side
    57,506.56x = 2,567,715,213.44
  5. Step 5: Solve for x
    x = 2,567,715,213.44/57,506.56
  6. Step 6: Final answer
    x = 44,650.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.