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Finding the Fourth Proportional to 27,830.96, 41,733.96 and 20,007.04

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Solution

The fourth proportional to 27,830.96, 41,733.96 and 20,007.04 is: 30,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.96 : 41,733.96 = 20,007.04 : x
  2. Step 2: Convert to fraction form
    27,830.96/41,733.96 = 20,007.04/x
  3. Step 3: Cross multiply
    27,830.96x = 41,733.96 × 20,007.04
  4. Step 4: Simplify right side
    27,830.96x = 834,973,007.08
  5. Step 5: Solve for x
    x = 834,973,007.08/27,830.96
  6. Step 6: Final answer
    x = 30,001.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.