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Finding the Fourth Proportional to 71,886.36, 99,205.26 and 41,671.80

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Solution

The fourth proportional to 71,886.36, 99,205.26 and 41,671.80 is: 57,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886.36 : 99,205.26 = 41,671.80 : x
  2. Step 2: Convert to fraction form
    71,886.36/99,205.26 = 41,671.80/x
  3. Step 3: Cross multiply
    71,886.36x = 99,205.26 × 41,671.80
  4. Step 4: Simplify right side
    71,886.36x = 4,134,061,753.67
  5. Step 5: Solve for x
    x = 4,134,061,753.67/71,886.36
  6. Step 6: Final answer
    x = 57,508.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.