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Finding the Fourth Proportional to 71,852.64, 107,828.22 and 25,105.50

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Solution

The fourth proportional to 71,852.64, 107,828.22 and 25,105.50 is: 37,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,852.64 : 107,828.22 = 25,105.50 : x
  2. Step 2: Convert to fraction form
    71,852.64/107,828.22 = 25,105.50/x
  3. Step 3: Cross multiply
    71,852.64x = 107,828.22 × 25,105.50
  4. Step 4: Simplify right side
    71,852.64x = 2,707,081,377.21
  5. Step 5: Solve for x
    x = 2,707,081,377.21/71,852.64
  6. Step 6: Final answer
    x = 37,675.46

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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.