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Finding the Fourth Proportional to 32,172, 44,397.50 and 17,832.48

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Solution

The fourth proportional to 32,172, 44,397.50 and 17,832.48 is: 24,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172 : 44,397.50 = 17,832.48 : x
  2. Step 2: Convert to fraction form
    32,172/44,397.50 = 17,832.48/x
  3. Step 3: Cross multiply
    32,172x = 44,397.50 × 17,832.48
  4. Step 4: Simplify right side
    32,172x = 791,717,530.80
  5. Step 5: Solve for x
    x = 791,717,530.80/32,172
  6. Step 6: Final answer
    x = 24,608.90

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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.