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Finding the Fourth Proportional to 41,509.53, 62,205.98 and 31,128.57

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Solution

The fourth proportional to 41,509.53, 62,205.98 and 31,128.57 is: 46,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509.53 : 62,205.98 = 31,128.57 : x
  2. Step 2: Convert to fraction form
    41,509.53/62,205.98 = 31,128.57/x
  3. Step 3: Cross multiply
    41,509.53x = 62,205.98 × 31,128.57
  4. Step 4: Simplify right side
    41,509.53x = 1,936,383,047.21
  5. Step 5: Solve for x
    x = 1,936,383,047.21/41,509.53
  6. Step 6: Final answer
    x = 46,649.12

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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.