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Finding the Fourth Proportional to 55,611.80, 83,409.60 and 16,164.80

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Solution

The fourth proportional to 55,611.80, 83,409.60 and 16,164.80 is: 24,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,611.80 : 83,409.60 = 16,164.80 : x
  2. Step 2: Convert to fraction form
    55,611.80/83,409.60 = 16,164.80/x
  3. Step 3: Cross multiply
    55,611.80x = 83,409.60 × 16,164.80
  4. Step 4: Simplify right side
    55,611.80x = 1,348,299,502.08
  5. Step 5: Solve for x
    x = 1,348,299,502.08/55,611.80
  6. Step 6: Final answer
    x = 24,244.85

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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.