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Finding the Fourth Proportional to 30,813.40, 46,187.70 and 12,086.20

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Solution

The fourth proportional to 30,813.40, 46,187.70 and 12,086.20 is: 18,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.40 : 46,187.70 = 12,086.20 : x
  2. Step 2: Convert to fraction form
    30,813.40/46,187.70 = 12,086.20/x
  3. Step 3: Cross multiply
    30,813.40x = 46,187.70 × 12,086.20
  4. Step 4: Simplify right side
    30,813.40x = 558,233,779.74
  5. Step 5: Solve for x
    x = 558,233,779.74/30,813.40
  6. Step 6: Final answer
    x = 18,116.59

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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.