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Finding the Fourth Proportional to 32,173.68, 44,400.88 and 18,026

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Solution

The fourth proportional to 32,173.68, 44,400.88 and 18,026 is: 24,876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,173.68 : 44,400.88 = 18,026 : x
  2. Step 2: Convert to fraction form
    32,173.68/44,400.88 = 18,026/x
  3. Step 3: Cross multiply
    32,173.68x = 44,400.88 × 18,026
  4. Step 4: Simplify right side
    32,173.68x = 800,370,262.88
  5. Step 5: Solve for x
    x = 800,370,262.88/32,173.68
  6. Step 6: Final answer
    x = 24,876.55

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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.