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Finding the Fourth Proportional to 59,843.66, 82,584.80 and 32,987.20

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Solution

The fourth proportional to 59,843.66, 82,584.80 and 32,987.20 is: 45,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,843.66 : 82,584.80 = 32,987.20 : x
  2. Step 2: Convert to fraction form
    59,843.66/82,584.80 = 32,987.20/x
  3. Step 3: Cross multiply
    59,843.66x = 82,584.80 × 32,987.20
  4. Step 4: Simplify right side
    59,843.66x = 2,724,241,314.56
  5. Step 5: Solve for x
    x = 2,724,241,314.56/59,843.66
  6. Step 6: Final answer
    x = 45,522.64

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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.