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Finding the Fourth Proportional to 31,202.88, 46,808.74 and 10,136.18

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Solution

The fourth proportional to 31,202.88, 46,808.74 and 10,136.18 is: 15,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.88 : 46,808.74 = 10,136.18 : x
  2. Step 2: Convert to fraction form
    31,202.88/46,808.74 = 10,136.18/x
  3. Step 3: Cross multiply
    31,202.88x = 46,808.74 × 10,136.18
  4. Step 4: Simplify right side
    31,202.88x = 474,461,814.21
  5. Step 5: Solve for x
    x = 474,461,814.21/31,202.88
  6. Step 6: Final answer
    x = 15,205.71

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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.