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Finding the Fourth Proportional to 83,082.74, 124,653.27 and 51,881.54

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Solution

The fourth proportional to 83,082.74, 124,653.27 and 51,881.54 is: 77,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082.74 : 124,653.27 = 51,881.54 : x
  2. Step 2: Convert to fraction form
    83,082.74/124,653.27 = 51,881.54/x
  3. Step 3: Cross multiply
    83,082.74x = 124,653.27 × 51,881.54
  4. Step 4: Simplify right side
    83,082.74x = 6,467,202,990.37
  5. Step 5: Solve for x
    x = 6,467,202,990.37/83,082.74
  6. Step 6: Final answer
    x = 77,840.52

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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.