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Finding the Fourth Proportional to 52,193, 72,025.91 and 29,531.80

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Solution

The fourth proportional to 52,193, 72,025.91 and 29,531.80 is: 40,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,193 : 72,025.91 = 29,531.80 : x
  2. Step 2: Convert to fraction form
    52,193/72,025.91 = 29,531.80/x
  3. Step 3: Cross multiply
    52,193x = 72,025.91 × 29,531.80
  4. Step 4: Simplify right side
    52,193x = 2,127,054,768.94
  5. Step 5: Solve for x
    x = 2,127,054,768.94/52,193
  6. Step 6: Final answer
    x = 40,753.64

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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.