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Finding the Fourth Proportional to 53,958.24, 80,898.48 and 33,138

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Solution

The fourth proportional to 53,958.24, 80,898.48 and 33,138 is: 49,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,958.24 : 80,898.48 = 33,138 : x
  2. Step 2: Convert to fraction form
    53,958.24/80,898.48 = 33,138/x
  3. Step 3: Cross multiply
    53,958.24x = 80,898.48 × 33,138
  4. Step 4: Simplify right side
    53,958.24x = 2,680,813,830.24
  5. Step 5: Solve for x
    x = 2,680,813,830.24/53,958.24
  6. Step 6: Final answer
    x = 49,683.12

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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.