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Finding the Fourth Proportional to 57,782.62, 79,741.83 and 32,633.74

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Solution

The fourth proportional to 57,782.62, 79,741.83 and 32,633.74 is: 45,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.62 : 79,741.83 = 32,633.74 : x
  2. Step 2: Convert to fraction form
    57,782.62/79,741.83 = 32,633.74/x
  3. Step 3: Cross multiply
    57,782.62x = 79,741.83 × 32,633.74
  4. Step 4: Simplify right side
    57,782.62x = 2,602,274,147.34
  5. Step 5: Solve for x
    x = 2,602,274,147.34/57,782.62
  6. Step 6: Final answer
    x = 45,035.59

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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.