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Finding the Fourth Proportional to 57,702.42, 79,633.38 and 32,213.76

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Solution

The fourth proportional to 57,702.42, 79,633.38 and 32,213.76 is: 44,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,702.42 : 79,633.38 = 32,213.76 : x
  2. Step 2: Convert to fraction form
    57,702.42/79,633.38 = 32,213.76/x
  3. Step 3: Cross multiply
    57,702.42x = 79,633.38 × 32,213.76
  4. Step 4: Simplify right side
    57,702.42x = 2,565,290,591.31
  5. Step 5: Solve for x
    x = 2,565,290,591.31/57,702.42
  6. Step 6: Final answer
    x = 44,457.24

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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.