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Finding the Fourth Proportional to 51,838.43, 71,437.15 and 37,668.83

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Solution

The fourth proportional to 51,838.43, 71,437.15 and 37,668.83 is: 51,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,838.43 : 71,437.15 = 37,668.83 : x
  2. Step 2: Convert to fraction form
    51,838.43/71,437.15 = 37,668.83/x
  3. Step 3: Cross multiply
    51,838.43x = 71,437.15 × 37,668.83
  4. Step 4: Simplify right side
    51,838.43x = 2,690,953,859.03
  5. Step 5: Solve for x
    x = 2,690,953,859.03/51,838.43
  6. Step 6: Final answer
    x = 51,910.40

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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.