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Finding the Fourth Proportional to 31,878.26, 47,814.95 and 11,101.76

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Solution

The fourth proportional to 31,878.26, 47,814.95 and 11,101.76 is: 16,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.26 : 47,814.95 = 11,101.76 : x
  2. Step 2: Convert to fraction form
    31,878.26/47,814.95 = 11,101.76/x
  3. Step 3: Cross multiply
    31,878.26x = 47,814.95 × 11,101.76
  4. Step 4: Simplify right side
    31,878.26x = 530,829,804.73
  5. Step 5: Solve for x
    x = 530,829,804.73/31,878.26
  6. Step 6: Final answer
    x = 16,651.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.