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Finding the Fourth Proportional to 32,162.39, 44,383.44 and 17,822.10

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Solution

The fourth proportional to 32,162.39, 44,383.44 and 17,822.10 is: 24,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162.39 : 44,383.44 = 17,822.10 : x
  2. Step 2: Convert to fraction form
    32,162.39/44,383.44 = 17,822.10/x
  3. Step 3: Cross multiply
    32,162.39x = 44,383.44 × 17,822.10
  4. Step 4: Simplify right side
    32,162.39x = 791,006,106.02
  5. Step 5: Solve for x
    x = 791,006,106.02/32,162.39
  6. Step 6: Final answer
    x = 24,594.13

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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.