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Finding the Fourth Proportional to 71,858.45, 107,782.67 and 26,871.26

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Solution

The fourth proportional to 71,858.45, 107,782.67 and 26,871.26 is: 40,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,858.45 : 107,782.67 = 26,871.26 : x
  2. Step 2: Convert to fraction form
    71,858.45/107,782.67 = 26,871.26/x
  3. Step 3: Cross multiply
    71,858.45x = 107,782.67 × 26,871.26
  4. Step 4: Simplify right side
    71,858.45x = 2,896,255,475.79
  5. Step 5: Solve for x
    x = 2,896,255,475.79/71,858.45
  6. Step 6: Final answer
    x = 40,305.01

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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.