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Finding the Fourth Proportional to 31,184.76, 43,035.12 and 17,037.84

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Solution

The fourth proportional to 31,184.76, 43,035.12 and 17,037.84 is: 23,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,184.76 : 43,035.12 = 17,037.84 : x
  2. Step 2: Convert to fraction form
    31,184.76/43,035.12 = 17,037.84/x
  3. Step 3: Cross multiply
    31,184.76x = 43,035.12 × 17,037.84
  4. Step 4: Simplify right side
    31,184.76x = 733,225,488.94
  5. Step 5: Solve for x
    x = 733,225,488.94/31,184.76
  6. Step 6: Final answer
    x = 23,512.30

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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.