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Finding the Fourth Proportional to 55,456.38, 83,184.57 and 13,903.38

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Solution

The fourth proportional to 55,456.38, 83,184.57 and 13,903.38 is: 20,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,456.38 : 83,184.57 = 13,903.38 : x
  2. Step 2: Convert to fraction form
    55,456.38/83,184.57 = 13,903.38/x
  3. Step 3: Cross multiply
    55,456.38x = 83,184.57 × 13,903.38
  4. Step 4: Simplify right side
    55,456.38x = 1,156,546,686.85
  5. Step 5: Solve for x
    x = 1,156,546,686.85/55,456.38
  6. Step 6: Final answer
    x = 20,855.07

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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.