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Finding the Fourth Proportional to 55,606.80, 83,414.52 and 16,164.48

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Solution

The fourth proportional to 55,606.80, 83,414.52 and 16,164.48 is: 24,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,606.80 : 83,414.52 = 16,164.48 : x
  2. Step 2: Convert to fraction form
    55,606.80/83,414.52 = 16,164.48/x
  3. Step 3: Cross multiply
    55,606.80x = 83,414.52 × 16,164.48
  4. Step 4: Simplify right side
    55,606.80x = 1,348,352,340.25
  5. Step 5: Solve for x
    x = 1,348,352,340.25/55,606.80
  6. Step 6: Final answer
    x = 24,247.98

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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.