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Finding the Fourth Proportional to 28,965.42, 43,448.90 and 9,243.96

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Solution

The fourth proportional to 28,965.42, 43,448.90 and 9,243.96 is: 13,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,965.42 : 43,448.90 = 9,243.96 : x
  2. Step 2: Convert to fraction form
    28,965.42/43,448.90 = 9,243.96/x
  3. Step 3: Cross multiply
    28,965.42x = 43,448.90 × 9,243.96
  4. Step 4: Simplify right side
    28,965.42x = 401,639,847.42
  5. Step 5: Solve for x
    x = 401,639,847.42/28,965.42
  6. Step 6: Final answer
    x = 13,866.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.