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Finding the Fourth Proportional to 71,782.79, 107,675.19 and 27,411.98

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Solution

The fourth proportional to 71,782.79, 107,675.19 and 27,411.98 is: 41,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,782.79 : 107,675.19 = 27,411.98 : x
  2. Step 2: Convert to fraction form
    71,782.79/107,675.19 = 27,411.98/x
  3. Step 3: Cross multiply
    71,782.79x = 107,675.19 × 27,411.98
  4. Step 4: Simplify right side
    71,782.79x = 2,951,589,616.40
  5. Step 5: Solve for x
    x = 2,951,589,616.40/71,782.79
  6. Step 6: Final answer
    x = 41,118.35

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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.