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Finding the Fourth Proportional to 55,302.40, 82,964.40 and 22,016.80

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Solution

The fourth proportional to 55,302.40, 82,964.40 and 22,016.80 is: 33,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302.40 : 82,964.40 = 22,016.80 : x
  2. Step 2: Convert to fraction form
    55,302.40/82,964.40 = 22,016.80/x
  3. Step 3: Cross multiply
    55,302.40x = 82,964.40 × 22,016.80
  4. Step 4: Simplify right side
    55,302.40x = 1,826,610,601.92
  5. Step 5: Solve for x
    x = 1,826,610,601.92/55,302.40
  6. Step 6: Final answer
    x = 33,029.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.