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Finding the Fourth Proportional to 77,489.38, 116,253.57 and 22,085.38

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Solution

The fourth proportional to 77,489.38, 116,253.57 and 22,085.38 is: 33,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,489.38 : 116,253.57 = 22,085.38 : x
  2. Step 2: Convert to fraction form
    77,489.38/116,253.57 = 22,085.38/x
  3. Step 3: Cross multiply
    77,489.38x = 116,253.57 × 22,085.38
  4. Step 4: Simplify right side
    77,489.38x = 2,567,503,688.54
  5. Step 5: Solve for x
    x = 2,567,503,688.54/77,489.38
  6. Step 6: Final answer
    x = 33,133.62

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Why These Related Problems?

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