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Finding the Fourth Proportional to 57,496.96, 79,347.90 and 32,004.64

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Solution

The fourth proportional to 57,496.96, 79,347.90 and 32,004.64 is: 44,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,496.96 : 79,347.90 = 32,004.64 : x
  2. Step 2: Convert to fraction form
    57,496.96/79,347.90 = 32,004.64/x
  3. Step 3: Cross multiply
    57,496.96x = 79,347.90 × 32,004.64
  4. Step 4: Simplify right side
    57,496.96x = 2,539,500,974.26
  5. Step 5: Solve for x
    x = 2,539,500,974.26/57,496.96
  6. Step 6: Final answer
    x = 44,167.57

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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.