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Finding the Fourth Proportional to 52,107.29, 71,919.86 and 29,459.38

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Solution

The fourth proportional to 52,107.29, 71,919.86 and 29,459.38 is: 40,660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.29 : 71,919.86 = 29,459.38 : x
  2. Step 2: Convert to fraction form
    52,107.29/71,919.86 = 29,459.38/x
  3. Step 3: Cross multiply
    52,107.29x = 71,919.86 × 29,459.38
  4. Step 4: Simplify right side
    52,107.29x = 2,118,714,485.29
  5. Step 5: Solve for x
    x = 2,118,714,485.29/52,107.29
  6. Step 6: Final answer
    x = 40,660.62

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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.