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Finding the Fourth Proportional to 32,194.38, 44,426.40 and 18,767.82

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Solution

The fourth proportional to 32,194.38, 44,426.40 and 18,767.82 is: 25,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.38 : 44,426.40 = 18,767.82 : x
  2. Step 2: Convert to fraction form
    32,194.38/44,426.40 = 18,767.82/x
  3. Step 3: Cross multiply
    32,194.38x = 44,426.40 × 18,767.82
  4. Step 4: Simplify right side
    32,194.38x = 833,786,678.45
  5. Step 5: Solve for x
    x = 833,786,678.45/32,194.38
  6. Step 6: Final answer
    x = 25,898.52

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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.