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Finding the Fourth Proportional to 51,654, 71,282.52 and 29,298

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Solution

The fourth proportional to 51,654, 71,282.52 and 29,298 is: 40,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,654 : 71,282.52 = 29,298 : x
  2. Step 2: Convert to fraction form
    51,654/71,282.52 = 29,298/x
  3. Step 3: Cross multiply
    51,654x = 71,282.52 × 29,298
  4. Step 4: Simplify right side
    51,654x = 2,088,435,270.96
  5. Step 5: Solve for x
    x = 2,088,435,270.96/51,654
  6. Step 6: Final answer
    x = 40,431.24

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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.