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Finding the Fourth Proportional to 51,197.34, 76,813.50 and 31,246.80

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Solution

The fourth proportional to 51,197.34, 76,813.50 and 31,246.80 is: 46,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,197.34 : 76,813.50 = 31,246.80 : x
  2. Step 2: Convert to fraction form
    51,197.34/76,813.50 = 31,246.80/x
  3. Step 3: Cross multiply
    51,197.34x = 76,813.50 × 31,246.80
  4. Step 4: Simplify right side
    51,197.34x = 2,400,176,071.80
  5. Step 5: Solve for x
    x = 2,400,176,071.80/51,197.34
  6. Step 6: Final answer
    x = 46,880.87

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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.