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Finding the Fourth Proportional to 59,850.81, 82,590.30 and 32,991.84

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Solution

The fourth proportional to 59,850.81, 82,590.30 and 32,991.84 is: 45,526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,850.81 : 82,590.30 = 32,991.84 : x
  2. Step 2: Convert to fraction form
    59,850.81/82,590.30 = 32,991.84/x
  3. Step 3: Cross multiply
    59,850.81x = 82,590.30 × 32,991.84
  4. Step 4: Simplify right side
    59,850.81x = 2,724,805,963.15
  5. Step 5: Solve for x
    x = 2,724,805,963.15/59,850.81
  6. Step 6: Final answer
    x = 45,526.63

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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.