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Finding the Fourth Proportional to 55,726.40, 83,595 and 16,282.64

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Solution

The fourth proportional to 55,726.40, 83,595 and 16,282.64 is: 24,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,726.40 : 83,595 = 16,282.64 : x
  2. Step 2: Convert to fraction form
    55,726.40/83,595 = 16,282.64/x
  3. Step 3: Cross multiply
    55,726.40x = 83,595 × 16,282.64
  4. Step 4: Simplify right side
    55,726.40x = 1,361,147,290.80
  5. Step 5: Solve for x
    x = 1,361,147,290.80/55,726.40
  6. Step 6: Final answer
    x = 24,425.54

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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.