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Finding the Fourth Proportional to 32,165.46, 44,388.27 and 18,018

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Solution

The fourth proportional to 32,165.46, 44,388.27 and 18,018 is: 24,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.46 : 44,388.27 = 18,018 : x
  2. Step 2: Convert to fraction form
    32,165.46/44,388.27 = 18,018/x
  3. Step 3: Cross multiply
    32,165.46x = 44,388.27 × 18,018
  4. Step 4: Simplify right side
    32,165.46x = 799,787,848.86
  5. Step 5: Solve for x
    x = 799,787,848.86/32,165.46
  6. Step 6: Final answer
    x = 24,864.80

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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.