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Finding the Fourth Proportional to 27,157.50, 40,744.17 and 11,576.70

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Solution

The fourth proportional to 27,157.50, 40,744.17 and 11,576.70 is: 17,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,157.50 : 40,744.17 = 11,576.70 : x
  2. Step 2: Convert to fraction form
    27,157.50/40,744.17 = 11,576.70/x
  3. Step 3: Cross multiply
    27,157.50x = 40,744.17 × 11,576.70
  4. Step 4: Simplify right side
    27,157.50x = 471,683,032.84
  5. Step 5: Solve for x
    x = 471,683,032.84/27,157.50
  6. Step 6: Final answer
    x = 17,368.43

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1.5x scale

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.