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Finding the Fourth Proportional to 82,703.94, 114,082.74 and 52,028.16

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Solution

The fourth proportional to 82,703.94, 114,082.74 and 52,028.16 is: 71,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,703.94 : 114,082.74 = 52,028.16 : x
  2. Step 2: Convert to fraction form
    82,703.94/114,082.74 = 52,028.16/x
  3. Step 3: Cross multiply
    82,703.94x = 114,082.74 × 52,028.16
  4. Step 4: Simplify right side
    82,703.94x = 5,935,515,049.96
  5. Step 5: Solve for x
    x = 5,935,515,049.96/82,703.94
  6. Step 6: Final answer
    x = 71,768.23

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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.