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Finding the Fourth Proportional to 51,122.86, 76,711.90 and 21,561.24

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Solution

The fourth proportional to 51,122.86, 76,711.90 and 21,561.24 is: 32,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,122.86 : 76,711.90 = 21,561.24 : x
  2. Step 2: Convert to fraction form
    51,122.86/76,711.90 = 21,561.24/x
  3. Step 3: Cross multiply
    51,122.86x = 76,711.90 × 21,561.24
  4. Step 4: Simplify right side
    51,122.86x = 1,654,003,686.76
  5. Step 5: Solve for x
    x = 1,654,003,686.76/51,122.86
  6. Step 6: Final answer
    x = 32,353.50

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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.