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Finding the Fourth Proportional to 38,196, 57,297.24 and 10,494

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Solution

The fourth proportional to 38,196, 57,297.24 and 10,494 is: 15,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,196 : 57,297.24 = 10,494 : x
  2. Step 2: Convert to fraction form
    38,196/57,297.24 = 10,494/x
  3. Step 3: Cross multiply
    38,196x = 57,297.24 × 10,494
  4. Step 4: Simplify right side
    38,196x = 601,277,236.56
  5. Step 5: Solve for x
    x = 601,277,236.56/38,196
  6. Step 6: Final answer
    x = 15,741.89

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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.