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Finding the Fourth Proportional to 32,524.58, 48,757.70 and 11,743.22

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Solution

The fourth proportional to 32,524.58, 48,757.70 and 11,743.22 is: 17,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,524.58 : 48,757.70 = 11,743.22 : x
  2. Step 2: Convert to fraction form
    32,524.58/48,757.70 = 11,743.22/x
  3. Step 3: Cross multiply
    32,524.58x = 48,757.70 × 11,743.22
  4. Step 4: Simplify right side
    32,524.58x = 572,572,397.79
  5. Step 5: Solve for x
    x = 572,572,397.79/32,524.58
  6. Step 6: Final answer
    x = 17,604.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.