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Finding the Fourth Proportional to 52,038, 71,812.44 and 29,682

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Solution

The fourth proportional to 52,038, 71,812.44 and 29,682 is: 40,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038 : 71,812.44 = 29,682 : x
  2. Step 2: Convert to fraction form
    52,038/71,812.44 = 29,682/x
  3. Step 3: Cross multiply
    52,038x = 71,812.44 × 29,682
  4. Step 4: Simplify right side
    52,038x = 2,131,536,844.08
  5. Step 5: Solve for x
    x = 2,131,536,844.08/52,038
  6. Step 6: Final answer
    x = 40,961.16

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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.