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Finding the Fourth Proportional to 71,713.94, 107,584.60 and 27,336.98

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Solution

The fourth proportional to 71,713.94, 107,584.60 and 27,336.98 is: 41,010.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,713.94 : 107,584.60 = 27,336.98 : x
  2. Step 2: Convert to fraction form
    71,713.94/107,584.60 = 27,336.98/x
  3. Step 3: Cross multiply
    71,713.94x = 107,584.60 × 27,336.98
  4. Step 4: Simplify right side
    71,713.94x = 2,941,038,058.51
  5. Step 5: Solve for x
    x = 2,941,038,058.51/71,713.94
  6. Step 6: Final answer
    x = 41,010.69

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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.