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Finding the Fourth Proportional to 71,594.82, 107,411.67 and 21,676.59

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Solution

The fourth proportional to 71,594.82, 107,411.67 and 21,676.59 is: 32,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,594.82 : 107,411.67 = 21,676.59 : x
  2. Step 2: Convert to fraction form
    71,594.82/107,411.67 = 21,676.59/x
  3. Step 3: Cross multiply
    71,594.82x = 107,411.67 × 21,676.59
  4. Step 4: Simplify right side
    71,594.82x = 2,328,318,731.81
  5. Step 5: Solve for x
    x = 2,328,318,731.81/71,594.82
  6. Step 6: Final answer
    x = 32,520.77

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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.