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Finding the Fourth Proportional to 27,305.68, 40,957.08 and 13,450

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Solution

The fourth proportional to 27,305.68, 40,957.08 and 13,450 is: 20,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,305.68 : 40,957.08 = 13,450 : x
  2. Step 2: Convert to fraction form
    27,305.68/40,957.08 = 13,450/x
  3. Step 3: Cross multiply
    27,305.68x = 40,957.08 × 13,450
  4. Step 4: Simplify right side
    27,305.68x = 550,872,726
  5. Step 5: Solve for x
    x = 550,872,726/27,305.68
  6. Step 6: Final answer
    x = 20,174.29

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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.