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Finding the Fourth Proportional to 51,285, 70,668.16 and 37,834.92

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Solution

The fourth proportional to 51,285, 70,668.16 and 37,834.92 is: 52,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,285 : 70,668.16 = 37,834.92 : x
  2. Step 2: Convert to fraction form
    51,285/70,668.16 = 37,834.92/x
  3. Step 3: Cross multiply
    51,285x = 70,668.16 × 37,834.92
  4. Step 4: Simplify right side
    51,285x = 2,673,724,180.15
  5. Step 5: Solve for x
    x = 2,673,724,180.15/51,285
  6. Step 6: Final answer
    x = 52,134.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.