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Finding the Fourth Proportional to 51,120.86, 76,708.89 and 21,559.23

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Solution

The fourth proportional to 51,120.86, 76,708.89 and 21,559.23 is: 32,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,120.86 : 76,708.89 = 21,559.23 : x
  2. Step 2: Convert to fraction form
    51,120.86/76,708.89 = 21,559.23/x
  3. Step 3: Cross multiply
    51,120.86x = 76,708.89 × 21,559.23
  4. Step 4: Simplify right side
    51,120.86x = 1,653,784,602.55
  5. Step 5: Solve for x
    x = 1,653,784,602.55/51,120.86
  6. Step 6: Final answer
    x = 32,350.49

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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.