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Finding the Fourth Proportional to 82,251.24, 113,502.42 and 48,255

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Solution

The fourth proportional to 82,251.24, 113,502.42 and 48,255 is: 66,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,251.24 : 113,502.42 = 48,255 : x
  2. Step 2: Convert to fraction form
    82,251.24/113,502.42 = 48,255/x
  3. Step 3: Cross multiply
    82,251.24x = 113,502.42 × 48,255
  4. Step 4: Simplify right side
    82,251.24x = 5,477,059,277.10
  5. Step 5: Solve for x
    x = 5,477,059,277.10/82,251.24
  6. Step 6: Final answer
    x = 66,589.38

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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.