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Finding the Fourth Proportional to 51,652.92, 77,596.02 and 44,654.52

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Solution

The fourth proportional to 51,652.92, 77,596.02 and 44,654.52 is: 67,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,652.92 : 77,596.02 = 44,654.52 : x
  2. Step 2: Convert to fraction form
    51,652.92/77,596.02 = 44,654.52/x
  3. Step 3: Cross multiply
    51,652.92x = 77,596.02 × 44,654.52
  4. Step 4: Simplify right side
    51,652.92x = 3,465,013,027.01
  5. Step 5: Solve for x
    x = 3,465,013,027.01/51,652.92
  6. Step 6: Final answer
    x = 67,082.62

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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.