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Finding the Fourth Proportional to 59,678.94, 82,359.04 and 32,823.54

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Solution

The fourth proportional to 59,678.94, 82,359.04 and 32,823.54 is: 45,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,678.94 : 82,359.04 = 32,823.54 : x
  2. Step 2: Convert to fraction form
    59,678.94/82,359.04 = 32,823.54/x
  3. Step 3: Cross multiply
    59,678.94x = 82,359.04 × 32,823.54
  4. Step 4: Simplify right side
    59,678.94x = 2,703,315,243.80
  5. Step 5: Solve for x
    x = 2,703,315,243.80/59,678.94
  6. Step 6: Final answer
    x = 45,297.64

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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.