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Finding the Fourth Proportional to 183,784.32, 275,722.24 and 52,456.32

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Solution

The fourth proportional to 183,784.32, 275,722.24 and 52,456.32 is: 78,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,784.32 : 275,722.24 = 52,456.32 : x
  2. Step 2: Convert to fraction form
    183,784.32/275,722.24 = 52,456.32/x
  3. Step 3: Cross multiply
    183,784.32x = 275,722.24 × 52,456.32
  4. Step 4: Simplify right side
    183,784.32x = 14,463,374,052.56
  5. Step 5: Solve for x
    x = 14,463,374,052.56/183,784.32
  6. Step 6: Final answer
    x = 78,697.54

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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.