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Finding the Fourth Proportional to 83,890.62, 125,857.71 and 31,300.50

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Solution

The fourth proportional to 83,890.62, 125,857.71 and 31,300.50 is: 46,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,890.62 : 125,857.71 = 31,300.50 : x
  2. Step 2: Convert to fraction form
    83,890.62/125,857.71 = 31,300.50/x
  3. Step 3: Cross multiply
    83,890.62x = 125,857.71 × 31,300.50
  4. Step 4: Simplify right side
    83,890.62x = 3,939,409,251.86
  5. Step 5: Solve for x
    x = 3,939,409,251.86/83,890.62
  6. Step 6: Final answer
    x = 46,958.88

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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.