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Finding the Fourth Proportional to 31,575.88, 47,105 and 30,717.82

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Solution

The fourth proportional to 31,575.88, 47,105 and 30,717.82 is: 45,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575.88 : 47,105 = 30,717.82 : x
  2. Step 2: Convert to fraction form
    31,575.88/47,105 = 30,717.82/x
  3. Step 3: Cross multiply
    31,575.88x = 47,105 × 30,717.82
  4. Step 4: Simplify right side
    31,575.88x = 1,446,962,911.10
  5. Step 5: Solve for x
    x = 1,446,962,911.10/31,575.88
  6. Step 6: Final answer
    x = 45,824.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.