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Finding the Fourth Proportional to 52,057.92, 71,840.80 and 31,906.88

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Solution

The fourth proportional to 52,057.92, 71,840.80 and 31,906.88 is: 44,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,057.92 : 71,840.80 = 31,906.88 : x
  2. Step 2: Convert to fraction form
    52,057.92/71,840.80 = 31,906.88/x
  3. Step 3: Cross multiply
    52,057.92x = 71,840.80 × 31,906.88
  4. Step 4: Simplify right side
    52,057.92x = 2,292,215,784.70
  5. Step 5: Solve for x
    x = 2,292,215,784.70/52,057.92
  6. Step 6: Final answer
    x = 44,032.03

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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.