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Finding the Fourth Proportional to 32,677.92, 45,055.68 and 27,633.12

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Solution

The fourth proportional to 32,677.92, 45,055.68 and 27,633.12 is: 38,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.92 : 45,055.68 = 27,633.12 : x
  2. Step 2: Convert to fraction form
    32,677.92/45,055.68 = 27,633.12/x
  3. Step 3: Cross multiply
    32,677.92x = 45,055.68 × 27,633.12
  4. Step 4: Simplify right side
    32,677.92x = 1,245,029,012.12
  5. Step 5: Solve for x
    x = 1,245,029,012.12/32,677.92
  6. Step 6: Final answer
    x = 38,100.01

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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.