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Finding the Fourth Proportional to 31,208.82, 46,814.18 and 12,232.64

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Solution

The fourth proportional to 31,208.82, 46,814.18 and 12,232.64 is: 18,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208.82 : 46,814.18 = 12,232.64 : x
  2. Step 2: Convert to fraction form
    31,208.82/46,814.18 = 12,232.64/x
  3. Step 3: Cross multiply
    31,208.82x = 46,814.18 × 12,232.64
  4. Step 4: Simplify right side
    31,208.82x = 572,660,715.60
  5. Step 5: Solve for x
    x = 572,660,715.60/31,208.82
  6. Step 6: Final answer
    x = 18,349.32

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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.