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Finding the Fourth Proportional to 32,163, 44,392.62 and 18,922.68

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Solution

The fourth proportional to 32,163, 44,392.62 and 18,922.68 is: 26,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163 : 44,392.62 = 18,922.68 : x
  2. Step 2: Convert to fraction form
    32,163/44,392.62 = 18,922.68/x
  3. Step 3: Cross multiply
    32,163x = 44,392.62 × 18,922.68
  4. Step 4: Simplify right side
    32,163x = 840,027,342.62
  5. Step 5: Solve for x
    x = 840,027,342.62/32,163
  6. Step 6: Final answer
    x = 26,117.82

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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.