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Finding the Fourth Proportional to 52,601.74, 78,874.56 and 22,984.90

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Solution

The fourth proportional to 52,601.74, 78,874.56 and 22,984.90 is: 34,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,601.74 : 78,874.56 = 22,984.90 : x
  2. Step 2: Convert to fraction form
    52,601.74/78,874.56 = 22,984.90/x
  3. Step 3: Cross multiply
    52,601.74x = 78,874.56 × 22,984.90
  4. Step 4: Simplify right side
    52,601.74x = 1,812,923,676.96
  5. Step 5: Solve for x
    x = 1,812,923,676.96/52,601.74
  6. Step 6: Final answer
    x = 34,465.09

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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.