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Finding the Fourth Proportional to 71,937.29, 107,892.87 and 19,334.47

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Solution

The fourth proportional to 71,937.29, 107,892.87 and 19,334.47 is: 28,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,937.29 : 107,892.87 = 19,334.47 : x
  2. Step 2: Convert to fraction form
    71,937.29/107,892.87 = 19,334.47/x
  3. Step 3: Cross multiply
    71,937.29x = 107,892.87 × 19,334.47
  4. Step 4: Simplify right side
    71,937.29x = 2,086,051,458.23
  5. Step 5: Solve for x
    x = 2,086,051,458.23/71,937.29
  6. Step 6: Final answer
    x = 28,998.19

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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.