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Finding the Fourth Proportional to 52,874, 72,966.12 and 29,322

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Solution

The fourth proportional to 52,874, 72,966.12 and 29,322 is: 40,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,874 : 72,966.12 = 29,322 : x
  2. Step 2: Convert to fraction form
    52,874/72,966.12 = 29,322/x
  3. Step 3: Cross multiply
    52,874x = 72,966.12 × 29,322
  4. Step 4: Simplify right side
    52,874x = 2,139,512,570.64
  5. Step 5: Solve for x
    x = 2,139,512,570.64/52,874
  6. Step 6: Final answer
    x = 40,464.36

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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.