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Finding the Fourth Proportional to 31,926, 44,037.90 and 22,959.30

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Solution

The fourth proportional to 31,926, 44,037.90 and 22,959.30 is: 31,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,926 : 44,037.90 = 22,959.30 : x
  2. Step 2: Convert to fraction form
    31,926/44,037.90 = 22,959.30/x
  3. Step 3: Cross multiply
    31,926x = 44,037.90 × 22,959.30
  4. Step 4: Simplify right side
    31,926x = 1,011,079,357.47
  5. Step 5: Solve for x
    x = 1,011,079,357.47/31,926
  6. Step 6: Final answer
    x = 31,669.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.