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Finding the Fourth Proportional to 79,924.32, 119,892.96 and 52,164

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Solution

The fourth proportional to 79,924.32, 119,892.96 and 52,164 is: 78,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,924.32 : 119,892.96 = 52,164 : x
  2. Step 2: Convert to fraction form
    79,924.32/119,892.96 = 52,164/x
  3. Step 3: Cross multiply
    79,924.32x = 119,892.96 × 52,164
  4. Step 4: Simplify right side
    79,924.32x = 6,254,096,365.44
  5. Step 5: Solve for x
    x = 6,254,096,365.44/79,924.32
  6. Step 6: Final answer
    x = 78,250.23

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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.