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Finding the Fourth Proportional to 32,181.68, 44,411.93 and 18,034

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Solution

The fourth proportional to 32,181.68, 44,411.93 and 18,034 is: 24,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,181.68 : 44,411.93 = 18,034 : x
  2. Step 2: Convert to fraction form
    32,181.68/44,411.93 = 18,034/x
  3. Step 3: Cross multiply
    32,181.68x = 44,411.93 × 18,034
  4. Step 4: Simplify right side
    32,181.68x = 800,924,745.62
  5. Step 5: Solve for x
    x = 800,924,745.62/32,181.68
  6. Step 6: Final answer
    x = 24,887.60

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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.