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Finding the Fourth Proportional to 31,188.11, 46,776.52 and 8,996.03

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Solution

The fourth proportional to 31,188.11, 46,776.52 and 8,996.03 is: 13,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,188.11 : 46,776.52 = 8,996.03 : x
  2. Step 2: Convert to fraction form
    31,188.11/46,776.52 = 8,996.03/x
  3. Step 3: Cross multiply
    31,188.11x = 46,776.52 × 8,996.03
  4. Step 4: Simplify right side
    31,188.11x = 420,802,977.22
  5. Step 5: Solve for x
    x = 420,802,977.22/31,188.11
  6. Step 6: Final answer
    x = 13,492.42

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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.