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Finding the Fourth Proportional to 57,495.94, 79,343.49 and 32,002

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Solution

The fourth proportional to 57,495.94, 79,343.49 and 32,002 is: 44,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,495.94 : 79,343.49 = 32,002 : x
  2. Step 2: Convert to fraction form
    57,495.94/79,343.49 = 32,002/x
  3. Step 3: Cross multiply
    57,495.94x = 79,343.49 × 32,002
  4. Step 4: Simplify right side
    57,495.94x = 2,539,150,366.98
  5. Step 5: Solve for x
    x = 2,539,150,366.98/57,495.94
  6. Step 6: Final answer
    x = 44,162.26

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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.