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Finding the Fourth Proportional to 81,054.84, 111,867.42 and 58,468.68

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Solution

The fourth proportional to 81,054.84, 111,867.42 and 58,468.68 is: 80,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,054.84 : 111,867.42 = 58,468.68 : x
  2. Step 2: Convert to fraction form
    81,054.84/111,867.42 = 58,468.68/x
  3. Step 3: Cross multiply
    81,054.84x = 111,867.42 × 58,468.68
  4. Step 4: Simplify right side
    81,054.84x = 6,540,740,382.41
  5. Step 5: Solve for x
    x = 6,540,740,382.41/81,054.84
  6. Step 6: Final answer
    x = 80,695.25

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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.