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Finding the Fourth Proportional to 51,189.68, 76,731.91 and 19,592.33

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Solution

The fourth proportional to 51,189.68, 76,731.91 and 19,592.33 is: 29,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,189.68 : 76,731.91 = 19,592.33 : x
  2. Step 2: Convert to fraction form
    51,189.68/76,731.91 = 19,592.33/x
  3. Step 3: Cross multiply
    51,189.68x = 76,731.91 × 19,592.33
  4. Step 4: Simplify right side
    51,189.68x = 1,503,356,469.61
  5. Step 5: Solve for x
    x = 1,503,356,469.61/51,189.68
  6. Step 6: Final answer
    x = 29,368.35

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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.