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Finding the Fourth Proportional to 32,176.68, 44,405.02 and 18,029

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Solution

The fourth proportional to 32,176.68, 44,405.02 and 18,029 is: 24,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.68 : 44,405.02 = 18,029 : x
  2. Step 2: Convert to fraction form
    32,176.68/44,405.02 = 18,029/x
  3. Step 3: Cross multiply
    32,176.68x = 44,405.02 × 18,029
  4. Step 4: Simplify right side
    32,176.68x = 800,578,105.58
  5. Step 5: Solve for x
    x = 800,578,105.58/32,176.68
  6. Step 6: Final answer
    x = 24,880.69

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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.