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Finding the Fourth Proportional to 52,084, 71,885.64 and 29,728

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Solution

The fourth proportional to 52,084, 71,885.64 and 29,728 is: 41,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,084 : 71,885.64 = 29,728 : x
  2. Step 2: Convert to fraction form
    52,084/71,885.64 = 29,728/x
  3. Step 3: Cross multiply
    52,084x = 71,885.64 × 29,728
  4. Step 4: Simplify right side
    52,084x = 2,137,016,305.92
  5. Step 5: Solve for x
    x = 2,137,016,305.92/52,084
  6. Step 6: Final answer
    x = 41,030.19

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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.