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Finding the Fourth Proportional to 32,170.96, 44,395.86 and 18,023.50

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Solution

The fourth proportional to 32,170.96, 44,395.86 and 18,023.50 is: 24,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170.96 : 44,395.86 = 18,023.50 : x
  2. Step 2: Convert to fraction form
    32,170.96/44,395.86 = 18,023.50/x
  3. Step 3: Cross multiply
    32,170.96x = 44,395.86 × 18,023.50
  4. Step 4: Simplify right side
    32,170.96x = 800,168,782.71
  5. Step 5: Solve for x
    x = 800,168,782.71/32,170.96
  6. Step 6: Final answer
    x = 24,872.39

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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.