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Finding the Fourth Proportional to 81,796.77, 122,655.06 and 48,507.93

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Solution

The fourth proportional to 81,796.77, 122,655.06 and 48,507.93 is: 72,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,796.77 : 122,655.06 = 48,507.93 : x
  2. Step 2: Convert to fraction form
    81,796.77/122,655.06 = 48,507.93/x
  3. Step 3: Cross multiply
    81,796.77x = 122,655.06 × 48,507.93
  4. Step 4: Simplify right side
    81,796.77x = 5,949,743,064.63
  5. Step 5: Solve for x
    x = 5,949,743,064.63/81,796.77
  6. Step 6: Final answer
    x = 72,738.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.