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Finding the Fourth Proportional to 58,584.58, 80,846.80 and 31,727.14

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Solution

The fourth proportional to 58,584.58, 80,846.80 and 31,727.14 is: 43,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,584.58 : 80,846.80 = 31,727.14 : x
  2. Step 2: Convert to fraction form
    58,584.58/80,846.80 = 31,727.14/x
  3. Step 3: Cross multiply
    58,584.58x = 80,846.80 × 31,727.14
  4. Step 4: Simplify right side
    58,584.58x = 2,565,037,742.15
  5. Step 5: Solve for x
    x = 2,565,037,742.15/58,584.58
  6. Step 6: Final answer
    x = 43,783.50

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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.