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Finding the Fourth Proportional to 30,209.16, 45,295.92 and 9,142.80

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Solution

The fourth proportional to 30,209.16, 45,295.92 and 9,142.80 is: 13,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.16 : 45,295.92 = 9,142.80 : x
  2. Step 2: Convert to fraction form
    30,209.16/45,295.92 = 9,142.80/x
  3. Step 3: Cross multiply
    30,209.16x = 45,295.92 × 9,142.80
  4. Step 4: Simplify right side
    30,209.16x = 414,131,537.38
  5. Step 5: Solve for x
    x = 414,131,537.38/30,209.16
  6. Step 6: Final answer
    x = 13,708.81

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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.