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Finding the Fourth Proportional to 58,584.75, 80,846.94 and 31,727.28

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Solution

The fourth proportional to 58,584.75, 80,846.94 and 31,727.28 is: 43,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,584.75 : 80,846.94 = 31,727.28 : x
  2. Step 2: Convert to fraction form
    58,584.75/80,846.94 = 31,727.28/x
  3. Step 3: Cross multiply
    58,584.75x = 80,846.94 × 31,727.28
  4. Step 4: Simplify right side
    58,584.75x = 2,565,053,502.52
  5. Step 5: Solve for x
    x = 2,565,053,502.52/58,584.75
  6. Step 6: Final answer
    x = 43,783.64

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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.