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Finding the Fourth Proportional to 59,843.61, 82,584.75 and 32,987.16

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Solution

The fourth proportional to 59,843.61, 82,584.75 and 32,987.16 is: 45,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,843.61 : 82,584.75 = 32,987.16 : x
  2. Step 2: Convert to fraction form
    59,843.61/82,584.75 = 32,987.16/x
  3. Step 3: Cross multiply
    59,843.61x = 82,584.75 × 32,987.16
  4. Step 4: Simplify right side
    59,843.61x = 2,724,236,361.81
  5. Step 5: Solve for x
    x = 2,724,236,361.81/59,843.61
  6. Step 6: Final answer
    x = 45,522.59

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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.