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Finding the Fourth Proportional to 73,136.16, 109,682.50 and 31,015.62

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Solution

The fourth proportional to 73,136.16, 109,682.50 and 31,015.62 is: 46,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,136.16 : 109,682.50 = 31,015.62 : x
  2. Step 2: Convert to fraction form
    73,136.16/109,682.50 = 31,015.62/x
  3. Step 3: Cross multiply
    73,136.16x = 109,682.50 × 31,015.62
  4. Step 4: Simplify right side
    73,136.16x = 3,401,870,740.65
  5. Step 5: Solve for x
    x = 3,401,870,740.65/73,136.16
  6. Step 6: Final answer
    x = 46,514.21

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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.