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Finding the Fourth Proportional to 30,207.80, 45,293.76 and 9,141.44

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Solution

The fourth proportional to 30,207.80, 45,293.76 and 9,141.44 is: 13,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.80 : 45,293.76 = 9,141.44 : x
  2. Step 2: Convert to fraction form
    30,207.80/45,293.76 = 9,141.44/x
  3. Step 3: Cross multiply
    30,207.80x = 45,293.76 × 9,141.44
  4. Step 4: Simplify right side
    30,207.80x = 414,050,189.41
  5. Step 5: Solve for x
    x = 414,050,189.41/30,207.80
  6. Step 6: Final answer
    x = 13,706.73

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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.