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Finding the Fourth Proportional to 43,672.77, 65,509.16 and 17,377.74

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Solution

The fourth proportional to 43,672.77, 65,509.16 and 17,377.74 is: 26,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,672.77 : 65,509.16 = 17,377.74 : x
  2. Step 2: Convert to fraction form
    43,672.77/65,509.16 = 17,377.74/x
  3. Step 3: Cross multiply
    43,672.77x = 65,509.16 × 17,377.74
  4. Step 4: Simplify right side
    43,672.77x = 1,138,401,063.21
  5. Step 5: Solve for x
    x = 1,138,401,063.21/43,672.77
  6. Step 6: Final answer
    x = 26,066.61

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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.