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Finding the Fourth Proportional to 30,187.69, 45,281.43 and 12,405.96

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Solution

The fourth proportional to 30,187.69, 45,281.43 and 12,405.96 is: 18,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,187.69 : 45,281.43 = 12,405.96 : x
  2. Step 2: Convert to fraction form
    30,187.69/45,281.43 = 12,405.96/x
  3. Step 3: Cross multiply
    30,187.69x = 45,281.43 × 12,405.96
  4. Step 4: Simplify right side
    30,187.69x = 561,759,609.32
  5. Step 5: Solve for x
    x = 561,759,609.32/30,187.69
  6. Step 6: Final answer
    x = 18,608.90

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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.