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Finding the Fourth Proportional to 57,607.86, 79,498.05 and 32,457.78

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Solution

The fourth proportional to 57,607.86, 79,498.05 and 32,457.78 is: 44,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,607.86 : 79,498.05 = 32,457.78 : x
  2. Step 2: Convert to fraction form
    57,607.86/79,498.05 = 32,457.78/x
  3. Step 3: Cross multiply
    57,607.86x = 79,498.05 × 32,457.78
  4. Step 4: Simplify right side
    57,607.86x = 2,580,330,217.33
  5. Step 5: Solve for x
    x = 2,580,330,217.33/57,607.86
  6. Step 6: Final answer
    x = 44,791.29

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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.