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Finding the Fourth Proportional to 72,753.25, 100,398.46 and 40,922.14

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Solution

The fourth proportional to 72,753.25, 100,398.46 and 40,922.14 is: 56,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,753.25 : 100,398.46 = 40,922.14 : x
  2. Step 2: Convert to fraction form
    72,753.25/100,398.46 = 40,922.14/x
  3. Step 3: Cross multiply
    72,753.25x = 100,398.46 × 40,922.14
  4. Step 4: Simplify right side
    72,753.25x = 4,108,519,935.83
  5. Step 5: Solve for x
    x = 4,108,519,935.83/72,753.25
  6. Step 6: Final answer
    x = 56,471.98

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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.