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Finding the Fourth Proportional to 18,532.85, 27,801.90 and 6,049.76

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Solution

The fourth proportional to 18,532.85, 27,801.90 and 6,049.76 is: 9,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,532.85 : 27,801.90 = 6,049.76 : x
  2. Step 2: Convert to fraction form
    18,532.85/27,801.90 = 6,049.76/x
  3. Step 3: Cross multiply
    18,532.85x = 27,801.90 × 6,049.76
  4. Step 4: Simplify right side
    18,532.85x = 168,194,683.53
  5. Step 5: Solve for x
    x = 168,194,683.53/18,532.85
  6. Step 6: Final answer
    x = 9,075.49

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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.