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Finding the Fourth Proportional to 55,852.80, 83,771.10 and 16,405.80

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Solution

The fourth proportional to 55,852.80, 83,771.10 and 16,405.80 is: 24,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,852.80 : 83,771.10 = 16,405.80 : x
  2. Step 2: Convert to fraction form
    55,852.80/83,771.10 = 16,405.80/x
  3. Step 3: Cross multiply
    55,852.80x = 83,771.10 × 16,405.80
  4. Step 4: Simplify right side
    55,852.80x = 1,374,331,912.38
  5. Step 5: Solve for x
    x = 1,374,331,912.38/55,852.80
  6. Step 6: Final answer
    x = 24,606.32

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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.