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Finding the Fourth Proportional to 59,843.65, 82,584.79 and 32,987.19

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Solution

The fourth proportional to 59,843.65, 82,584.79 and 32,987.19 is: 45,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,843.65 : 82,584.79 = 32,987.19 : x
  2. Step 2: Convert to fraction form
    59,843.65/82,584.79 = 32,987.19/x
  3. Step 3: Cross multiply
    59,843.65x = 82,584.79 × 32,987.19
  4. Step 4: Simplify right side
    59,843.65x = 2,724,240,158.84
  5. Step 5: Solve for x
    x = 2,724,240,158.84/59,843.65
  6. Step 6: Final answer
    x = 45,522.63

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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.