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Finding the Fourth Proportional to 98,454.75, 147,651.13 and 31,879.50

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Solution

The fourth proportional to 98,454.75, 147,651.13 and 31,879.50 is: 47,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,454.75 : 147,651.13 = 31,879.50 : x
  2. Step 2: Convert to fraction form
    98,454.75/147,651.13 = 31,879.50/x
  3. Step 3: Cross multiply
    98,454.75x = 147,651.13 × 31,879.50
  4. Step 4: Simplify right side
    98,454.75x = 4,707,044,198.84
  5. Step 5: Solve for x
    x = 4,707,044,198.84/98,454.75
  6. Step 6: Final answer
    x = 47,809.21

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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.