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Finding the Fourth Proportional to 32,190.82, 44,398.92 and 28,205

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Solution

The fourth proportional to 32,190.82, 44,398.92 and 28,205 is: 38,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190.82 : 44,398.92 = 28,205 : x
  2. Step 2: Convert to fraction form
    32,190.82/44,398.92 = 28,205/x
  3. Step 3: Cross multiply
    32,190.82x = 44,398.92 × 28,205
  4. Step 4: Simplify right side
    32,190.82x = 1,252,271,538.60
  5. Step 5: Solve for x
    x = 1,252,271,538.60/32,190.82
  6. Step 6: Final answer
    x = 38,901.51

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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.