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Finding the Fourth Proportional to 38,096.56, 57,132.20 and 13,136

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Solution

The fourth proportional to 38,096.56, 57,132.20 and 13,136 is: 19,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096.56 : 57,132.20 = 13,136 : x
  2. Step 2: Convert to fraction form
    38,096.56/57,132.20 = 13,136/x
  3. Step 3: Cross multiply
    38,096.56x = 57,132.20 × 13,136
  4. Step 4: Simplify right side
    38,096.56x = 750,488,579.20
  5. Step 5: Solve for x
    x = 750,488,579.20/38,096.56
  6. Step 6: Final answer
    x = 19,699.64

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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.