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Finding the Fourth Proportional to 51,095.58, 76,512.15 and 31,314.21

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Solution

The fourth proportional to 51,095.58, 76,512.15 and 31,314.21 is: 46,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,095.58 : 76,512.15 = 31,314.21 : x
  2. Step 2: Convert to fraction form
    51,095.58/76,512.15 = 31,314.21/x
  3. Step 3: Cross multiply
    51,095.58x = 76,512.15 × 31,314.21
  4. Step 4: Simplify right side
    51,095.58x = 2,395,917,532.65
  5. Step 5: Solve for x
    x = 2,395,917,532.65/51,095.58
  6. Step 6: Final answer
    x = 46,890.90

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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.