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Finding the Fourth Proportional to 105,727.38, 145,912.22 and 59,796.72

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Solution

The fourth proportional to 105,727.38, 145,912.22 and 59,796.72 is: 82,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,727.38 : 145,912.22 = 59,796.72 : x
  2. Step 2: Convert to fraction form
    105,727.38/145,912.22 = 59,796.72/x
  3. Step 3: Cross multiply
    105,727.38x = 145,912.22 × 59,796.72
  4. Step 4: Simplify right side
    105,727.38x = 8,725,071,864.93
  5. Step 5: Solve for x
    x = 8,725,071,864.93/105,727.38
  6. Step 6: Final answer
    x = 82,524.24

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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.