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Finding the Fourth Proportional to 82,975.63, 114,472.92 and 48,027.29

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Solution

The fourth proportional to 82,975.63, 114,472.92 and 48,027.29 is: 66,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,975.63 : 114,472.92 = 48,027.29 : x
  2. Step 2: Convert to fraction form
    82,975.63/114,472.92 = 48,027.29/x
  3. Step 3: Cross multiply
    82,975.63x = 114,472.92 × 48,027.29
  4. Step 4: Simplify right side
    82,975.63x = 5,497,824,125.99
  5. Step 5: Solve for x
    x = 5,497,824,125.99/82,975.63
  6. Step 6: Final answer
    x = 66,258.30

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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.