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Finding the Fourth Proportional to 57,847.74, 79,829.28 and 32,353.80

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Solution

The fourth proportional to 57,847.74, 79,829.28 and 32,353.80 is: 44,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,847.74 : 79,829.28 = 32,353.80 : x
  2. Step 2: Convert to fraction form
    57,847.74/79,829.28 = 32,353.80/x
  3. Step 3: Cross multiply
    57,847.74x = 79,829.28 × 32,353.80
  4. Step 4: Simplify right side
    57,847.74x = 2,582,780,559.26
  5. Step 5: Solve for x
    x = 2,582,780,559.26/57,847.74
  6. Step 6: Final answer
    x = 44,647.91

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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.