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Finding the Fourth Proportional to 27,800.08, 41,663.96 and 21,202

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Solution

The fourth proportional to 27,800.08, 41,663.96 and 21,202 is: 31,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,800.08 : 41,663.96 = 21,202 : x
  2. Step 2: Convert to fraction form
    27,800.08/41,663.96 = 21,202/x
  3. Step 3: Cross multiply
    27,800.08x = 41,663.96 × 21,202
  4. Step 4: Simplify right side
    27,800.08x = 883,359,279.92
  5. Step 5: Solve for x
    x = 883,359,279.92/27,800.08
  6. Step 6: Final answer
    x = 31,775.42

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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.