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Finding the Fourth Proportional to 27,295.80, 40,969.68 and 14,157.60

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Solution

The fourth proportional to 27,295.80, 40,969.68 and 14,157.60 is: 21,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,295.80 : 40,969.68 = 14,157.60 : x
  2. Step 2: Convert to fraction form
    27,295.80/40,969.68 = 14,157.60/x
  3. Step 3: Cross multiply
    27,295.80x = 40,969.68 × 14,157.60
  4. Step 4: Simplify right side
    27,295.80x = 580,032,341.57
  5. Step 5: Solve for x
    x = 580,032,341.57/27,295.80
  6. Step 6: Final answer
    x = 21,249.88

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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.