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Finding the Fourth Proportional to 52,164, 71,986.32 and 29,808

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Solution

The fourth proportional to 52,164, 71,986.32 and 29,808 is: 41,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,164 : 71,986.32 = 29,808 : x
  2. Step 2: Convert to fraction form
    52,164/71,986.32 = 29,808/x
  3. Step 3: Cross multiply
    52,164x = 71,986.32 × 29,808
  4. Step 4: Simplify right side
    52,164x = 2,145,768,226.56
  5. Step 5: Solve for x
    x = 2,145,768,226.56/52,164
  6. Step 6: Final answer
    x = 41,135.04

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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.