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Finding the Fourth Proportional to 71,876.34, 107,799.93 and 19,273.50

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Solution

The fourth proportional to 71,876.34, 107,799.93 and 19,273.50 is: 28,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,876.34 : 107,799.93 = 19,273.50 : x
  2. Step 2: Convert to fraction form
    71,876.34/107,799.93 = 19,273.50/x
  3. Step 3: Cross multiply
    71,876.34x = 107,799.93 × 19,273.50
  4. Step 4: Simplify right side
    71,876.34x = 2,077,681,950.86
  5. Step 5: Solve for x
    x = 2,077,681,950.86/71,876.34
  6. Step 6: Final answer
    x = 28,906.34

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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.