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Finding the Fourth Proportional to 29,848.53, 41,180.38 and 18,506.30

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Solution

The fourth proportional to 29,848.53, 41,180.38 and 18,506.30 is: 25,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,848.53 : 41,180.38 = 18,506.30 : x
  2. Step 2: Convert to fraction form
    29,848.53/41,180.38 = 18,506.30/x
  3. Step 3: Cross multiply
    29,848.53x = 41,180.38 × 18,506.30
  4. Step 4: Simplify right side
    29,848.53x = 762,096,466.39
  5. Step 5: Solve for x
    x = 762,096,466.39/29,848.53
  6. Step 6: Final answer
    x = 25,532.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.