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Finding the Fourth Proportional to 55,686.40, 83,532.80 and 16,249.60

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Solution

The fourth proportional to 55,686.40, 83,532.80 and 16,249.60 is: 24,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,686.40 : 83,532.80 = 16,249.60 : x
  2. Step 2: Convert to fraction form
    55,686.40/83,532.80 = 16,249.60/x
  3. Step 3: Cross multiply
    55,686.40x = 83,532.80 × 16,249.60
  4. Step 4: Simplify right side
    55,686.40x = 1,357,374,586.88
  5. Step 5: Solve for x
    x = 1,357,374,586.88/55,686.40
  6. Step 6: Final answer
    x = 24,375.33

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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.