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Finding the Fourth Proportional to 52,324.57, 78,473.04 and 22,735.50

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Solution

The fourth proportional to 52,324.57, 78,473.04 and 22,735.50 is: 34,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,324.57 : 78,473.04 = 22,735.50 : x
  2. Step 2: Convert to fraction form
    52,324.57/78,473.04 = 22,735.50/x
  3. Step 3: Cross multiply
    52,324.57x = 78,473.04 × 22,735.50
  4. Step 4: Simplify right side
    52,324.57x = 1,784,123,800.92
  5. Step 5: Solve for x
    x = 1,784,123,800.92/52,324.57
  6. Step 6: Final answer
    x = 34,097.25

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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.