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Finding the Fourth Proportional to 52,958.84, 73,083.70 and 29,086

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Solution

The fourth proportional to 52,958.84, 73,083.70 and 29,086 is: 40,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,958.84 : 73,083.70 = 29,086 : x
  2. Step 2: Convert to fraction form
    52,958.84/73,083.70 = 29,086/x
  3. Step 3: Cross multiply
    52,958.84x = 73,083.70 × 29,086
  4. Step 4: Simplify right side
    52,958.84x = 2,125,712,498.20
  5. Step 5: Solve for x
    x = 2,125,712,498.20/52,958.84
  6. Step 6: Final answer
    x = 40,138.96

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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.