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Finding the Fourth Proportional to 55,780.44, 83,658.36 and 16,340.64

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Solution

The fourth proportional to 55,780.44, 83,658.36 and 16,340.64 is: 24,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,780.44 : 83,658.36 = 16,340.64 : x
  2. Step 2: Convert to fraction form
    55,780.44/83,658.36 = 16,340.64/x
  3. Step 3: Cross multiply
    55,780.44x = 83,658.36 × 16,340.64
  4. Step 4: Simplify right side
    55,780.44x = 1,367,031,143.75
  5. Step 5: Solve for x
    x = 1,367,031,143.75/55,780.44
  6. Step 6: Final answer
    x = 24,507.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.