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Finding the Fourth Proportional to 52,843.78, 72,922.12 and 31,634.74

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Solution

The fourth proportional to 52,843.78, 72,922.12 and 31,634.74 is: 43,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,843.78 : 72,922.12 = 31,634.74 : x
  2. Step 2: Convert to fraction form
    52,843.78/72,922.12 = 31,634.74/x
  3. Step 3: Cross multiply
    52,843.78x = 72,922.12 × 31,634.74
  4. Step 4: Simplify right side
    52,843.78x = 2,306,872,045.06
  5. Step 5: Solve for x
    x = 2,306,872,045.06/52,843.78
  6. Step 6: Final answer
    x = 43,654.56

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1.5x scale

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.