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Finding the Fourth Proportional to 55,853.80, 83,772.60 and 16,406.80

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Solution

The fourth proportional to 55,853.80, 83,772.60 and 16,406.80 is: 24,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,853.80 : 83,772.60 = 16,406.80 : x
  2. Step 2: Convert to fraction form
    55,853.80/83,772.60 = 16,406.80/x
  3. Step 3: Cross multiply
    55,853.80x = 83,772.60 × 16,406.80
  4. Step 4: Simplify right side
    55,853.80x = 1,374,440,293.68
  5. Step 5: Solve for x
    x = 1,374,440,293.68/55,853.80
  6. Step 6: Final answer
    x = 24,607.82

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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.