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Finding the Fourth Proportional to 59,021.81, 81,450.11 and 32,164.32

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Solution

The fourth proportional to 59,021.81, 81,450.11 and 32,164.32 is: 44,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,021.81 : 81,450.11 = 32,164.32 : x
  2. Step 2: Convert to fraction form
    59,021.81/81,450.11 = 32,164.32/x
  3. Step 3: Cross multiply
    59,021.81x = 81,450.11 × 32,164.32
  4. Step 4: Simplify right side
    59,021.81x = 2,619,787,787.92
  5. Step 5: Solve for x
    x = 2,619,787,787.92/59,021.81
  6. Step 6: Final answer
    x = 44,386.78

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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.