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Finding the Fourth Proportional to 55,052.04, 82,578.06 and 22,197

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Solution

The fourth proportional to 55,052.04, 82,578.06 and 22,197 is: 33,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,052.04 : 82,578.06 = 22,197 : x
  2. Step 2: Convert to fraction form
    55,052.04/82,578.06 = 22,197/x
  3. Step 3: Cross multiply
    55,052.04x = 82,578.06 × 22,197
  4. Step 4: Simplify right side
    55,052.04x = 1,832,985,197.82
  5. Step 5: Solve for x
    x = 1,832,985,197.82/55,052.04
  6. Step 6: Final answer
    x = 33,295.50

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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.