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Finding the Fourth Proportional to 30,781.68, 46,178.28 and 12,315.12

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Solution

The fourth proportional to 30,781.68, 46,178.28 and 12,315.12 is: 18,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.68 : 46,178.28 = 12,315.12 : x
  2. Step 2: Convert to fraction form
    30,781.68/46,178.28 = 12,315.12/x
  3. Step 3: Cross multiply
    30,781.68x = 46,178.28 × 12,315.12
  4. Step 4: Simplify right side
    30,781.68x = 568,691,059.59
  5. Step 5: Solve for x
    x = 568,691,059.59/30,781.68
  6. Step 6: Final answer
    x = 18,474.98

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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.