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Finding the Fourth Proportional to 59,661.78, 82,334.63 and 32,805.80

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Solution

The fourth proportional to 59,661.78, 82,334.63 and 32,805.80 is: 45,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,661.78 : 82,334.63 = 32,805.80 : x
  2. Step 2: Convert to fraction form
    59,661.78/82,334.63 = 32,805.80/x
  3. Step 3: Cross multiply
    59,661.78x = 82,334.63 × 32,805.80
  4. Step 4: Simplify right side
    59,661.78x = 2,701,052,829.15
  5. Step 5: Solve for x
    x = 2,701,052,829.15/59,661.78
  6. Step 6: Final answer
    x = 45,272.75

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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.