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Finding the Fourth Proportional to 82,192, 113,424.01 and 48,193.47

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Solution

The fourth proportional to 82,192, 113,424.01 and 48,193.47 is: 66,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,192 : 113,424.01 = 48,193.47 : x
  2. Step 2: Convert to fraction form
    82,192/113,424.01 = 48,193.47/x
  3. Step 3: Cross multiply
    82,192x = 113,424.01 × 48,193.47
  4. Step 4: Simplify right side
    82,192x = 5,466,296,623.21
  5. Step 5: Solve for x
    x = 5,466,296,623.21/82,192
  6. Step 6: Final answer
    x = 66,506.43

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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.