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Finding the Fourth Proportional to 31,595.87, 43,607.90 and 18,166.07

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Solution

The fourth proportional to 31,595.87, 43,607.90 and 18,166.07 is: 25,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595.87 : 43,607.90 = 18,166.07 : x
  2. Step 2: Convert to fraction form
    31,595.87/43,607.90 = 18,166.07/x
  3. Step 3: Cross multiply
    31,595.87x = 43,607.90 × 18,166.07
  4. Step 4: Simplify right side
    31,595.87x = 792,184,073.12
  5. Step 5: Solve for x
    x = 792,184,073.12/31,595.87
  6. Step 6: Final answer
    x = 25,072.39

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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.