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Finding the Fourth Proportional to 52,066, 71,855.40 and 29,714.32

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Solution

The fourth proportional to 52,066, 71,855.40 and 29,714.32 is: 41,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,066 : 71,855.40 = 29,714.32 : x
  2. Step 2: Convert to fraction form
    52,066/71,855.40 = 29,714.32/x
  3. Step 3: Cross multiply
    52,066x = 71,855.40 × 29,714.32
  4. Step 4: Simplify right side
    52,066x = 2,135,134,349.33
  5. Step 5: Solve for x
    x = 2,135,134,349.33/52,066
  6. Step 6: Final answer
    x = 41,008.23

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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.