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Finding the Fourth Proportional to 82,157.52, 113,379 and 48,192

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Solution

The fourth proportional to 82,157.52, 113,379 and 48,192 is: 66,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,157.52 : 113,379 = 48,192 : x
  2. Step 2: Convert to fraction form
    82,157.52/113,379 = 48,192/x
  3. Step 3: Cross multiply
    82,157.52x = 113,379 × 48,192
  4. Step 4: Simplify right side
    82,157.52x = 5,463,960,768
  5. Step 5: Solve for x
    x = 5,463,960,768/82,157.52
  6. Step 6: Final answer
    x = 66,505.91

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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.