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Finding the Fourth Proportional to 52,305.73, 72,181.05 and 28,433

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Solution

The fourth proportional to 52,305.73, 72,181.05 and 28,433 is: 39,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,305.73 : 72,181.05 = 28,433 : x
  2. Step 2: Convert to fraction form
    52,305.73/72,181.05 = 28,433/x
  3. Step 3: Cross multiply
    52,305.73x = 72,181.05 × 28,433
  4. Step 4: Simplify right side
    52,305.73x = 2,052,323,794.65
  5. Step 5: Solve for x
    x = 2,052,323,794.65/52,305.73
  6. Step 6: Final answer
    x = 39,237.07

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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.